Engenharia 10 Novembro/2014 LEIA COM ATENÇÃO AS INSTRUÇÕES ABAIXO. ϭ͘sĞƌŝĮƋƵĞ ƐĞ͕ ĂůĠŵ ĚĞƐƚĞ ĐĂĚĞƌŶŽ͕ ǀŽĐġ ƌĞĐĞďĞƵ Ž ĂĚĞƌŶŽ ĚĞ ZĞƐƉŽƐƚĂƐ͕ ĚĞƐƟŶĂĚŽ ă ƚƌĂŶƐĐƌŝĕĆŽ ĚĂƐ ƌĞƐƉŽƐƚĂƐ ĚĂƐ ƋƵĞƐƚƁĞƐ ĚĞ ŵƷůƟƉůĂ ĞƐĐŽůŚĂ ;ŽďũĞƟǀĂƐͿ͕ ĚĂƐ ƋƵĞƐƚƁĞƐ ĚŝƐĐƵƌƐŝǀĂƐ Ğ ĚŽ ƋƵĞƐƟŽŶĄƌŝŽ ĚĞ ƉĞƌĐĞƉĕĆŽĚĂƉƌŽǀĂ͘ Ϯ͘ŽŶĮƌĂƐĞĞƐƚĞĐĂĚĞƌŶŽĐŽŶƚĠŵĂƐƋƵĞƐƚƁĞƐĚŝƐĐƵƌƐŝǀĂƐĞĚĞŵƷůƟƉůĂĞƐĐŽůŚĂ;ŽďũĞƟǀĂƐͿ͕ĚĞĨŽƌŵĂĕĆŽ ŐĞƌĂůĞĚŽĐŽŵƉŽŶĞŶƚĞĞƐƉĞĐşĮĐŽĚĂĄƌĞĂ͕ĞĂƐƌĞůĂƟǀĂƐăƐƵĂƉĞƌĐĞƉĕĆŽĚĂƉƌŽǀĂ͘ƐƋƵĞƐƚƁĞƐĞƐƚĆŽ ĂƐƐŝŵĚŝƐƚƌŝďƵşĚĂƐ͗ Número das questões Peso das questões no componente ŽŵƉŽŶĞŶƚĞƐƉĞĐşĮĐŽͬŝƐĐƵƌƐŝǀĂƐ ŽŵƉŽŶĞŶƚĞƐƉĞĐşĮĐŽͬKďũĞƟǀĂƐ ϭĞϮ ϭĂϴ ϯĂϱ ϵĂϯϱ 40% 60% 15% ϴϱй YƵĞƐƟŽŶĄƌŝŽĚĞWĞƌĐĞƉĕĆŽĚĂWƌŽǀĂ ϭĂϵ - Partes &ŽƌŵĂĕĆŽ'ĞƌĂůͬŝƐĐƵƌƐŝǀĂƐ &ŽƌŵĂĕĆŽ'ĞƌĂůͬKďũĞƟǀĂƐ Peso dos componentes no cálculo da nota 25% 75% - ϯ͘sĞƌŝĮƋƵĞƐĞĂƉƌŽǀĂĞƐƚĄĐŽŵƉůĞƚĂĞƐĞŽƐĞƵŶŽŵĞĞƐƚĄĐŽƌƌĞƚŽŶŽĂĚĞƌŶŽĚĞZĞƐƉŽƐƚĂƐ͘ĂƐŽĐŽŶƚƌĄƌŝŽ͕ ĂǀŝƐĞŝŵĞĚŝĂƚĂŵĞŶƚĞƵŵĚŽƐƌĞƐƉŽŶƐĄǀĞŝƐƉĞůĂĂƉůŝĐĂĕĆŽĚĂƉƌŽǀĂ͘sŽĐġĚĞǀĞĂƐƐŝŶĂƌŽĂĚĞƌŶŽĚĞZĞƐƉŽƐƚĂƐ ŶŽĞƐƉĂĕŽƉƌſƉƌŝŽ͕ĐŽŵĐĂŶĞƚĂĞƐĨĞƌŽŐƌĄĮĐĂĚĞƟŶƚĂƉƌĞƚĂ͘ ϰ͘KďƐĞƌǀĞĂƐŝŶƐƚƌƵĕƁĞƐƐŽďƌĞĂŵĂƌĐĂĕĆŽĚĂƐƌĞƐƉŽƐƚĂƐĚĂƐƋƵĞƐƚƁĞƐĚĞŵƷůƟƉůĂĞƐĐŽůŚĂ;ĂƉĞŶĂƐƵŵĂƌĞƐƉŽƐƚĂ ƉŽƌƋƵĞƐƚĆŽͿ͕ĞdžƉƌĞƐƐĂƐŶŽĂĚĞƌŶŽĚĞZĞƐƉŽƐƚĂƐ͘ ϱ͘hƐĞĐĂŶĞƚĂĞƐĨĞƌŽŐƌĄĮĐĂĚĞƟŶƚĂƉƌĞƚĂ͕ƚĂŶƚŽƉĂƌĂŵĂƌĐĂƌĂƐƌĞƐƉŽƐƚĂƐĚĂƐƋƵĞƐƚƁĞƐŽďũĞƟǀĂƐƋƵĂŶƚŽƉĂƌĂ ĞƐĐƌĞǀĞƌĂƐƌĞƐƉŽƐƚĂƐĚĂƐƋƵĞƐƚƁĞƐĚŝƐĐƵƌƐŝǀĂƐ͘ ϲ͘ZĞƐƉŽŶĚĂ ĐĂĚĂ ƋƵĞƐƚĆŽ ĚŝƐĐƵƌƐŝǀĂ Ğŵ͕ ŶŽ ŵĄdžŝŵŽ͕ ϭϱ ůŝŶŚĂƐ͘ YƵĂůƋƵĞƌ ƚĞdžƚŽ ƋƵĞ ƵůƚƌĂƉĂƐƐĂƌ Ž ĞƐƉĂĕŽ ĚĞƐƟŶĂĚŽăƌĞƐƉŽƐƚĂƐĞƌĄĚĞƐĐŽŶƐŝĚĞƌĂĚŽ͘ ϳ͘EĆŽƵƐĞĐĂůĐƵůĂĚŽƌĂ͖ŶĆŽƐĞĐŽŵƵŶŝƋƵĞĐŽŵŽƐĚĞŵĂŝƐĞƐƚƵĚĂŶƚĞƐŶĞŵƚƌŽƋƵĞŵĂƚĞƌŝĂůĐŽŵĞůĞƐ͖ ŶĆŽĐŽŶƐƵůƚĞŵĂƚĞƌŝĂůďŝďůŝŽŐƌĄĮĐŽ͕ĐĂĚĞƌŶŽƐŽƵĂŶŽƚĂĕƁĞƐĚĞƋƵĂůƋƵĞƌĞƐƉĠĐŝĞ͘ ϴ͘sŽĐġƚĞƌĄƋƵĂƚƌŽŚŽƌĂƐƉĂƌĂƌĞƐƉŽŶĚĞƌăƐƋƵĞƐƚƁĞƐĚĞŵƷůƟƉůĂĞƐĐŽůŚĂĞĚŝƐĐƵƌƐŝǀĂƐĞĂŽƋƵĞƐƟŽŶĄƌŝŽĚĞ ƉĞƌĐĞƉĕĆŽĚĂƉƌŽǀĂ͘ ϵ͘YƵĂŶĚŽƚĞƌŵŝŶĂƌ͕ĞŶƚƌĞŐƵĞĂŽƉůŝĐĂĚŽƌŽƵ&ŝƐĐĂůŽƐĞƵĂĚĞƌŶŽĚĞZĞƐƉŽƐƚĂƐ͘ 10. Atenção!sŽĐġĚĞǀĞƌĄƉĞƌŵĂŶĞĐĞƌ͕ŶŽŵşŶŝŵŽ͕ƉŽƌƵŵĂŚŽƌĂ͕ŶĂƐĂůĂĚĞĂƉůŝĐĂĕĆŽĚĂƐƉƌŽǀĂƐĞƐſƉŽĚĞƌĄ ůĞǀĂƌĞƐƚĞĂĚĞƌŶŽĚĞWƌŽǀĂĂƉſƐĚĞĐŽƌƌŝĚĂƐƚƌġƐŚŽƌĂƐĚŽŝŶşĐŝŽĚŽdžĂŵĞ͘ Ministério da Educação *R1020141* FORMAÇÃO GERAL QUESTÃO DISCURSIVA 1 KƐĚĞƐĂĨŝŽƐĚĂŵŽďŝůŝĚĂĚĞƵƌďĂŶĂĂƐƐŽĐŝĂŵͲƐĞăŶĞĐĞƐƐŝĚĂĚĞĚĞĚĞƐĞŶǀŽůǀŝŵĞŶƚŽƵƌďĂŶŽƐƵƐƚĞŶƚĄǀĞů͘ KEhĚĞĮŶĞĞƐƐĞĚĞƐĞŶǀŽůǀŝŵĞŶƚŽĐŽŵŽĂƋƵĞůĞƋƵĞĂƐƐĞŐƵƌĂƋƵĂůŝĚĂĚĞĚĞǀŝĚĂ͕ŝŶĐůƵşĚŽƐŽƐĐŽŵƉŽŶĞŶƚĞƐ ĞĐŽůſŐŝĐŽƐ͕ĐƵůƚƵƌĂŝƐ͕ƉŽůşƟĐŽƐ͕ŝŶƐƟƚƵĐŝŽŶĂŝƐ͕ƐŽĐŝĂŝƐĞĞĐŽŶƀŵŝĐŽƐƋƵĞŶĆŽĐŽŵƉƌŽŵĞƚĂŵĂƋƵĂůŝĚĂĚĞĚĞ ǀŝĚĂĚĂƐĨƵƚƵƌĂƐŐĞƌĂĕƁĞƐ͘ KĞƐƉĂĕŽƵƌďĂŶŽďƌĂƐŝůĞŝƌŽĠŵĂƌĐĂĚŽƉŽƌŝŶƷŵĞƌŽƐƉƌŽďůĞŵĂƐĐŽƟĚŝĂŶŽƐĞƉŽƌǀĄƌŝĂƐĐŽŶƚƌĂĚŝĕƁĞƐ͘hŵĂĚĂƐ ŐƌĂŶĚĞƐƋƵĞƐƚƁĞƐĞŵĚĞďĂƚĞĚŝnjƌĞƐƉĞŝƚŽăŵŽďŝůŝĚĂĚĞƵƌďĂŶĂ͕ƵŵĂǀĞnjƋƵĞŽŵŽŵĞŶƚŽĠĚĞŵŽƚŽƌŝnjĂĕĆŽ ĚŽƐĚĞƐůŽĐĂŵĞŶƚŽƐĚĂƉŽƉƵůĂĕĆŽ͕ƉŽƌŵĞŝŽĚĞƚƌĂŶƐƉŽƌƚĞĐŽůĞƟǀŽĞŝŶĚŝǀŝĚƵĂů͘ ŽŶƐŝĚĞƌĞŽƐĚĂĚŽƐĚŽƐĞŐƵŝŶƚĞƋƵĂĚƌŽ͘ Mobilidade urbana em cidade com mais de 500 mil habitantes Modalidade Tipologia Porcentagem (%) ƉĠ ϭϱ͕ϵ EĆŽŵŽƚŽƌŝnjĂĚŽ ŝĐŝĐůĞƚĂ Ϯ͕ϳ NŶŝďƵƐŵƵŶŝĐŝƉĂů ϮϮ͕Ϯ DŽƚŽƌŝnjĂĚŽĐŽůĞƟǀŽ NŶŝďƵƐŵĞƚƌŽƉŽůŝƚĂŶŽ ϰ͕ϱ DĞƚƌŽĨĞƌƌŽǀŝĄƌŝŽ Ϯϱ͕ϭ ƵƚŽŵſǀĞů Ϯϳ͕ϱ DŽƚŽƌŝnjĂĚŽŝŶĚŝǀŝĚƵĂů DŽƚŽĐŝĐůĞƚĂ Ϯ͕ϭ dĞŶĚŽ Ğŵ ǀŝƐƚĂ Ž ƚĞdžƚŽ Ğ Ž ƋƵĂĚƌŽ ĚĞ ŵŽďŝůŝĚĂĚĞ ƵƌďĂŶĂ ĂƉƌĞƐĞŶƚĂĚŽƐ͕ ƌĞĚŝũĂ Ƶŵ ƚĞdžƚŽ ĚŝƐƐĞƌƚĂƟǀŽ͕ ĐŽŶƚĞŵƉůĂŶĚŽŽƐƐĞŐƵŝŶƚĞƐĂƐƉĞĐƚŽƐ͗ ĂͿ ĐŽŶƐĞƋƵġŶĐŝĂƐ͕ƉĂƌĂŽĚĞƐĞŶǀŽůǀŝŵĞŶƚŽƐƵƐƚĞŶƚĄǀĞů͕ĚŽƵƐŽŵĂŝƐĨƌĞƋƵĞŶƚĞĚŽƚƌĂŶƐƉŽƌƚĞŵŽƚŽƌŝnjĂĚŽ͖ ;ǀĂůŽƌ͗ϱ͕ϬƉŽŶƚŽƐͿ ďͿ ĚƵĂƐĂĕƁĞƐĚĞŝŶƚĞƌǀĞŶĕĆŽƋƵĞĐŽŶƚƌŝďƵĂŵƉĂƌĂĂĐŽŶƐŽůŝĚĂĕĆŽĚĞƉŽůşƟĐĂƉƷďůŝĐĂĚĞŝŶĐƌĞŵĞŶƚŽĂŽƵƐŽ ĚĞďŝĐŝĐůĞƚĂŶĂĐŝĚĂĚĞŵĞŶĐŝŽŶĂĚĂ͕ĂƐƐĞŐƵƌĂŶĚŽͲƐĞŽĚĞƐĞŶǀŽůǀŝŵĞŶƚŽƐƵƐƚĞŶƚĄǀĞů͘;ǀĂůŽƌ͗ϱ͕ϬƉŽŶƚŽƐͿ RASCUNHO 1 2 ϯ 4 5 6 7 ϴ 9 10 11 12 ϭϯ 14 15 *R1020142* 2 E'E,Z/ QUESTÃO DISCURSIVA 2 dƌġƐũŽǀĞŶƐĚĞϭϵĂŶŽƐĚĞŝĚĂĚĞ͕ŵŽƌĂĚŽƌĞƐĚĞƌƵĂ͕ĨŽƌĂŵƉƌĞƐŽƐĞŵŇĂŐƌĂŶƚĞ͕ŶĞƐƚĂƋƵĂƌƚĂͲĨĞŝƌĂ͕ƉŽƌƚĞƌĞŵ ĂƚĞĂĚŽĨŽŐŽĞŵƵŵũŽǀĞŵĚĞϭϳĂŶŽƐ͕ŐƵĂƌĚĂĚŽƌĚĞĐĂƌƌŽƐ͘KŵŽƟǀŽ͕ƐĞŐƵŶĚŽĂϭϰ͘aW͕ĨŽŝƵŵĂ͚͛ďƌŝŐĂƉŽƌ ƉŽŶƚŽ͛͛͘hŵŵŽƚŽƌŝƐƚĂĚĞƵ͚͛ƵŵƚƌŽĐĂĚŽ͛͛ĂŽŵĞŶŽƌ͕ŽƋƵĞŝƌƌŝƚŽƵŽƐƚƌġƐŵŽƌĂĚŽƌĞƐĚĞƌƵĂ͕ƋƵĞƚĂŵďĠŵ ŐƵĂƌĚĂǀĂŵĐĂƌƌŽƐŶŽůŽĐĂů͘KŵĞŶŽƌĨŽŝůĞǀĂĚŽĂŽ,ŽƐƉŝƚĂůĚĂƐůşŶŝĐĂƐ;,ͿƉŽƌWDƐƋƵĞƉĂƐƐĂǀĂŵƉĞůŽ ůŽĐĂů͘^ĞŐƵŶĚŽŽ,͕ĞůĞƚĞǀĞƋƵĞŝŵĂĚƵƌĂƐůĞǀĞƐŶŽŽŵďƌŽĞƐƋƵĞƌĚŽ͕ĨŽŝŵĞĚŝĐĂĚŽĞ͕ĞŵƐĞŐƵŝĚĂ͕ůŝďĞƌĂĚŽ͘ KƐŝŶĚŝĐŝĂĚŽƐƉŽĚĞŵƉĞŐĂƌĚĞϭϮĂϯϬĂŶŽƐĚĞƉƌŝƐĆŽ͕ƐĞĮĐĂƌĐŽŵƉƌŽǀĂĚŽƋƵĞĂŝŶƚĞŶĕĆŽĞƌĂŵĂƚĂƌŽŵĞŶŽƌ͘ ĂƐŽĐŽŶƚƌĄƌŝŽ͕ĐŽŶĨŽƌŵĞĂϭϰ͘aW͕ŽƐƚƌġƐƉŽĚĞƌĆŽƉĞŐĂƌĚĞƵŵĂƚƌġƐĂŶŽƐĚĞĐĂĚĞŝĂ͘ ŝƐƉŽŶşǀĞůĞŵ͗фŚƩƉ͗ͬͬǁǁǁϭ͘ĨŽůŚĂ͘ƵŽů͘ĐŽŵ͘ďƌх͘ĐĞƐƐŽĞŵ͗ϮϴũƵů͘ϮϬϭϯ;ĂĚĂƉƚĂĚŽͿ͘ ƉĂƌƟƌĚĂƐŝƚƵĂĕĆŽŶĂƌƌĂĚĂ͕ĞůĂďŽƌĞƵŵƚĞdžƚŽĚŝƐƐĞƌƚĂƟǀŽƐŽďƌĞǀŝŽůġŶĐŝĂƵƌďĂŶĂ͕ĂƉƌĞƐĞŶƚĂŶĚŽ͗ ĂͿĂŶĄůŝƐĞĚĞĚƵĂƐĐĂƵƐĂƐĚŽƟƉŽĚĞǀŝŽůġŶĐŝĂĚĞƐĐƌŝƚĂŶŽƚĞdžƚŽ͖;ǀĂůŽƌ͗ϳ͕ϬƉŽŶƚŽƐͿ ďͿĚŽŝƐĨĂƚŽƌĞƐƋƵĞĐŽŶƚƌŝďƵŝƌŝĂŵƉĂƌĂƐĞĞǀŝƚĂƌŽĨĂƚŽĚĞƐĐƌŝƚŽŶĂŶŽơĐŝĂ͘;ǀĂůŽƌ͗ϯ͕ϬƉŽŶƚŽƐͿ RASCUNHO 1 2 ϯ 4 5 6 7 ϴ 9 10 11 12 ϭϯ 14 15 ϯ E'E,Z/ *R1020143* QUESTÃO 01 KƚƌĞĐŚŽĚĂŵƷƐŝĐĂ͞EŽƐĂŝůĞƐĚĂsŝĚĂ͕͟ĚĞDŝůƚŽŶEĂƐĐŝŵĞŶƚŽ͕͞ƚŽĚŽĂƌƟƐƚĂƚĞŵĚĞŝƌĂŽŶĚĞŽƉŽǀŽĞƐƚĄ͕͟ĠĂŶƟŐŽ͕ ĞĂŵƷƐŝĐĂ͕ĚĞƚĆŽƚŽĐĂĚĂ͕ĂĐĂďŽƵƉŽƌƐĞƚŽƌŶĂƌƵŵĞƐƚĞƌĞſƟƉŽĚĞƚŽĐĂĚŽƌĞƐĚĞǀŝŽůƁĞƐĞĚĞƌŽĚĂƐĚĞĂŵŝŐŽƐĞŵ sŝƐĐŽŶĚĞĚĞDĂƵĄ͕ŶŽƐĂŶŽƐϭϵϳϬ͘ŵƚĞŵƉŽƐĚŝŐŝƚĂŝƐ͕ƉŽƌĠŵ͕ĞůĂĮĐŽƵŵĂŝƐĂƚƵĂůĚŽƋƵĞŶƵŶĐĂ͘ĨĄĐŝůĞŶƚĞŶĚĞƌ ŽƉŽƌƋƵġ͗ĂŶƟŐĂŵĞŶƚĞ͕ƋƵĂŶĚŽĂŝŶĨŽƌŵĂĕĆŽƐĞĐŽŶĐĞŶƚƌĂǀĂĞŵĐĞŶƚƌŽƐĚĞĞdžƉŽƐŝĕĆŽ͕ǀĞşĐƵůŽƐĚĞĐŽŵƵŶŝĐĂĕĆŽ͕ ĞĚŝƚŽƌĂƐ͕ŵƵƐĞƵƐĞŐƌĂǀĂĚŽƌĂƐ͕ĞƌĂƉƌĞĐŝƐŽƉĂƐƐĂƌƉŽƌƵŵĂƐĠƌŝĞĚĞĐƵƌĂĚŽƌĞƐ͕ƉĂƌĂŐĂƌĂŶƟƌĂƉƵďůŝĐĂĕĆŽĚĞƵŵ ĂƌƟŐŽŽƵůŝǀƌŽ͕ĂŐƌĂǀĂĕĆŽĚĞƵŵĚŝƐĐŽŽƵĂƉƌŽĚƵĕĆŽĚĞƵŵĂĞdžƉŽƐŝĕĆŽ͘KŵĞƐŵŽĨƵŶŝů͕ƋƵĞƉŽĚĞƌŝĂƐĞƌŝŶũƵƐƚŽĞ ĚĞŝdžĂƌŐƌĂŶĚĞƐƚĂůĞŶƚŽƐĚĞĨŽƌĂ͕ƐŝŵƉůĞƐŵĞŶƚĞƉŽƌƋƵĞŶĆŽƟŶŚĂŵĂĐĞƐƐŽăƐĨĞƌƌĂŵĞŶƚĂƐ͕ăƐƉĞƐƐŽĂƐŽƵăƐĨŽŶƚĞƐ ĚĞŝŶĨŽƌŵĂĕĆŽ͕ƚĂŵďĠŵƐĞƌǀŝĂĐŽŵŽĮůƚƌŽĚĞƋƵĂůŝĚĂĚĞ͘dŽĐĂƌǀŝŽůĆŽŽƵĞŶĐĞŶĂƌƵŵĂƉĞĕĂĚĞƚĞĂƚƌŽĞŵƵŵŐƌĂŶĚĞ ĂƵĚŝƚſƌŝŽ ĐŽƐƚƵŵĂǀĂ ƚĞƌ Ƶŵ ƉĞƐŽ ŵƵŝƚŽ ŵĂŝŽƌ ĚŽ ƋƵĞ ĨĂnjġͲůŽ Ğŵ Ƶŵ ďĂƌ͕ Ƶŵ ĐĞŶƚƌŽ ĐƵůƚƵƌĂů ŽƵ ƵŵĂ ĐĂůĕĂĚĂ͘ EĂƐƌĂƌĂƐŽĐĂƐŝƁĞƐĞŵƋƵĞĞƐƐĞǀĂůŽƌƐĞŝŶǀĞƌƟĂ͕ĞƌĂũƵƐƚĂŵĞŶƚĞƉŽƌƋƵĞ͕ƉĂƌĂƵƐŽĚŽĞƐƉĂĕŽ͞ĂůƚĞƌŶĂƟǀŽ͕͟ŚĂǀŝĂ ŵĞĐĂŶŝƐŵŽƐĚĞƐĞůĞĕĆŽƚĆŽŽƵŵĂŝƐƌşŐŝĚŽƐƋƵĞŽƐĚŽĞƐƉĂĕŽŽĮĐŝĂů͘ Z&,ZZ͕>͘dŽĚŽĂƌƟƐƚĂƚĞŵĚĞŝƌĂŽŶĚĞŽƉŽǀŽĞƐƚĄ͘ŝƐƉŽŶşǀĞůĞŵ͗фŚƩƉ͗ͬͬŶŽǀŽ͘ŝƚĂƵĐƵůƚƵƌĂů͘ŽƌŐ͘ďƌх͘ĐĞƐƐŽĞŵ͗ϮϵũƵů͘ϮϬϭϰ;ĂĚĂƉƚĂĚŽͿ͘ ƉĂƌƟƌĚŽƚĞdžƚŽĂĐŝŵĂ͕ĂǀĂůŝĞĂƐĂƐƐĞƌĕƁĞƐĂƐĞŐƵŝƌĞĂƌĞůĂĕĆŽƉƌŽƉŽƐƚĂĞŶƚƌĞĞůĂƐ͘ /͘ KƉƌŽĐĞƐƐŽĚĞĞǀŽůƵĕĆŽƚĞĐŶŽůſŐŝĐĂĚĂĂƚƵĂůŝĚĂĚĞĚĞŵŽĐƌĂƟnjĂĂƉƌŽĚƵĕĆŽĞĂĚŝǀƵůŐĂĕĆŽĚĞŽďƌĂƐ ĂƌơƐƟĐĂƐ͕ƌĞĚƵnjŝŶĚŽĂŝŵƉŽƌƚąŶĐŝĂƋƵĞŽƐĐĞŶƚƌŽƐĚĞĞdžƉŽƐŝĕĆŽƟŶŚĂŵŶŽƐĂŶŽƐϭϵϳϬ͘ PORQUE //͘ ƐŶŽǀĂƐƚĞĐŶŽůŽŐŝĂƐƉŽƐƐŝďŝůŝƚĂŵƋƵĞĂƌƟƐƚĂƐƐĞũĂŵŝŶĚĞƉĞŶĚĞŶƚĞƐ͕ŵŽŶƚĞŵƐĞƵƐƉƌſƉƌŝŽƐĂŵďŝĞŶƚĞƐ ĚĞƉƌŽĚƵĕĆŽĞĚŝƐƉŽŶŝďŝůŝnjĞŵƐĞƵƐƚƌĂďĂůŚŽƐ͕ĚĞĨŽƌŵĂƐŝŵƉůĞƐ͕ƉĂƌĂƵŵŐƌĂŶĚĞŶƷŵĞƌŽĚĞƉĞƐƐŽĂƐ͘ ƌĞƐƉĞŝƚŽĚĞƐƐĂƐĂƐƐĞƌĕƁĞƐ͕ĂƐƐŝŶĂůĞĂŽƉĕĆŽĐŽƌƌĞƚĂ͘ A ƐĂƐƐĞƌĕƁĞƐ/Ğ//ƐĆŽƉƌŽƉŽƐŝĕƁĞƐǀĞƌĚĂĚĞŝƌĂƐ͕ĞĂ//ĠƵŵĂũƵƐƟĮĐĂƟǀĂĐŽƌƌĞƚĂĚĂ/͘ B ƐĂƐƐĞƌĕƁĞƐ/Ğ//ƐĆŽƉƌŽƉŽƐŝĕƁĞƐǀĞƌĚĂĚĞŝƌĂƐ͕ŵĂƐĂ//ŶĆŽĠƵŵĂũƵƐƟĮĐĂƟǀĂĐŽƌƌĞƚĂĚĂ/͘ C ĂƐƐĞƌĕĆŽ/ĠƵŵĂƉƌŽƉŽƐŝĕĆŽǀĞƌĚĂĚĞŝƌĂ͕ĞĂ//ĠƵŵĂƉƌŽƉŽƐŝĕĆŽĨĂůƐĂ͘ D ĂƐƐĞƌĕĆŽ/ĠƵŵĂƉƌŽƉŽƐŝĕĆŽĨĂůƐĂ͕ĞĂ//ĠƵŵĂƉƌŽƉŽƐŝĕĆŽǀĞƌĚĂĚĞŝƌĂ͘ E ƐĂƐƐĞƌĕƁĞƐ/Ğ//ƐĆŽƉƌŽƉŽƐŝĕƁĞƐĨĂůƐĂƐ͘ QUESTÃO 02 ŽŵĂŐůŽďĂůŝnjĂĕĆŽĚĂĞĐŽŶŽŵŝĂƐŽĐŝĂůƉŽƌŵĞŝŽĚĂƐŽƌŐĂŶŝnjĂĕƁĞƐŶĆŽŐŽǀĞƌŶĂŵĞŶƚĂŝƐ͕ƐƵƌŐŝƵƵŵĂĚŝƐĐƵƐƐĆŽ ĚŽĐŽŶĐĞŝƚŽĚĞĞŵƉƌĞƐĂ͕ĚĞƐƵĂĨŽƌŵĂĚĞĐŽŶĐĞƉĕĆŽũƵŶƚŽăƐŽƌŐĂŶŝnjĂĕƁĞƐďƌĂƐŝůĞŝƌĂƐĞĚĞƐƵĂƐƉƌĄƟĐĂƐ͘ ĂĚĂǀĞnjŵĂŝƐ͕ĠŶĞĐĞƐƐĄƌŝŽĐŽŵďŝŶĂƌĂƐƉŽůşƟĐĂƐƉƷďůŝĐĂƐƋƵĞƉƌŝŽƌŝnjĂŵŵŽĚĞƌŶŝĚĂĚĞĞĐŽŵƉĞƟǀŝĚĂĚĞ ĐŽŵŽĞƐĨŽƌĕŽĚĞŝŶĐŽƌƉŽƌĂĕĆŽĚŽƐƐĞƚŽƌĞƐĂƚƌĂƐĂĚŽƐ͕ŵĂŝƐŝŶƚĞŶƐŝǀŽƐĚĞŵĆŽĚĞŽďƌĂ͘ ŝƐƉŽŶşǀĞůĞŵ͗фŚƩƉ͗ͬͬƵŶƉĂŶϭ͘ƵŶ͘ŽƌŐх͘ĐĞƐƐŽĞŵ͗ϰĂŐŽ͘ϮϬϭϰ;ĂĚĂƉƚĂĚŽͿ͘ ƌĞƐƉĞŝƚŽĚĞƐƐĂƚĞŵĄƟĐĂ͕ĂǀĂůŝĞĂƐĂĮƌŵĂĕƁĞƐĂƐĞŐƵŝƌ͘ /͘ K ƚĞƌĐĞŝƌŽ ƐĞƚŽƌ Ġ ƵŵĂ ŵŝƐƚƵƌĂ ĚŽƐ ĚŽŝƐ ƐĞƚŽƌĞƐ ĞĐŽŶƀŵŝĐŽƐ ĐůĄƐƐŝĐŽƐ ĚĂ ƐŽĐŝĞĚĂĚĞ͗ Ž ƉƷďůŝĐŽ͕ ƌĞƉƌĞƐĞŶƚĂĚŽƉĞůŽƐƚĂĚŽ͕ĞŽƉƌŝǀĂĚŽ͕ƌĞƉƌĞƐĞŶƚĂĚŽƉĞůŽĞŵƉƌĞƐĂƌŝĂĚŽĞŵŐĞƌĂů͘ //͘ ŽƚĞƌĐĞŝƌŽƐĞƚŽƌƋƵĞǀŝĂďŝůŝnjĂŽĂĐĞƐƐŽĚĂƐŽĐŝĞĚĂĚĞăĞĚƵĐĂĕĆŽĞĂŽĚĞƐĞŶǀŽůǀŝŵĞŶƚŽĚĞƚĠĐŶŝĐĂƐ ŝŶĚƵƐƚƌŝĂŝƐ͕ĞĐŽŶƀŵŝĐĂƐ͕ĮŶĂŶĐĞŝƌĂƐ͕ƉŽůşƟĐĂƐĞĂŵďŝĞŶƚĂŝƐ͘ ///͘ ƌĞƐƉŽŶƐĂďŝůŝĚĂĚĞƐŽĐŝĂůƚĞŵƌĞƐƵůƚĂĚŽŶĂĂůƚĞƌĂĕĆŽĚŽƉĞƌĮůĐŽƌƉŽƌĂƟǀŽĞĞƐƚƌĂƚĠŐŝĐŽĚĂƐĞŵƉƌĞƐĂƐ͕ ƋƵĞƚġŵƌĞĨŽƌŵƵůĂĚŽĂĐƵůƚƵƌĂĞĂĮůŽƐŽĮĂƋƵĞŽƌŝĞŶƚĂŵĂƐĂĕƁĞƐŝŶƐƟƚƵĐŝŽŶĂŝƐ͘ ƐƚĄĐŽƌƌĞƚŽŽƋƵĞƐĞĂĮƌŵĂĞŵ A /͕ĂƉĞŶĂƐ͘ B //͕ĂƉĞŶĂƐ͘ C /Ğ///͕ĂƉĞŶĂƐ͘ D //Ğ///͕ĂƉĞŶĂƐ͘ E /͕//Ğ///͘ *R1020144* 4 E'E,Z/ QUESTÃO 03 WeŐĂĚĂ ĞĐŽůſŐŝĐĂ Ġ Ƶŵ ŝŶĚŝĐĂĚŽƌ ƋƵĞ ĞƐƟŵĂ Ă ĚĞŵĂŶĚĂ ŽƵ Ă ĞdžŝŐġŶĐŝĂ ŚƵŵĂŶĂ ƐŽďƌĞ Ž ŵĞŝŽ ĂŵďŝĞŶƚĞ͕ ĐŽŶƐŝĚĞƌĂŶĚŽͲƐĞŽŶşǀĞůĚĞĂƟǀŝĚĂĚĞƉĂƌĂĂƚĞŶĚĞƌĂŽƉĂĚƌĆŽĚĞĐŽŶƐƵŵŽĂƚƵĂů;ĐŽŵĂƚĞĐŶŽůŽŐŝĂĂƚƵĂůͿ͕͘ĚĞ ĐĞƌƚĂĨŽƌŵĂ͕ƵŵĂŵĂŶĞŝƌĂĚĞŵĞĚŝƌŽŇƵdžŽĚĞĂƟǀŽƐĂŵďŝĞŶƚĂŝƐĚĞƋƵĞŶĞĐĞƐƐŝƚĂŵŽƐƉĂƌĂƐƵƐƚĞŶƚĂƌŶŽƐƐŽƉĂĚƌĆŽ ĚĞĐŽŶƐƵŵŽ͘ƐƐĞŝŶĚŝĐĂĚŽƌĠŵĞĚŝĚŽĞŵŚĞĐƚĂƌĞŐůŽďĂů͕ŵĞĚŝĚĂĚĞĄƌĞĂĞƋƵŝǀĂůĞŶƚĞĂϭϬϬϬϬŵϸ͘EĂŵĞĚŝĚĂ ŚĞĐƚĂƌĞŐůŽďĂů͕ƐĆŽĐŽŶƐŝĚĞƌĂĚĂƐĂƉĞŶĂƐĂƐĄƌĞĂƐƉƌŽĚƵƟǀĂƐĚŽƉůĂŶĞƚĂ͘ďŝŽĐĂƉĂĐŝĚĂĚĞĚŽƉůĂŶĞƚĂ͕ŝŶĚŝĐĂĚŽƌ ƋƵĞƌĞŇĞƚĞĂƌĞŐĞŶĞƌĂĕĆŽ;ŶĂƚƵƌĂůͿĚŽŵĞŝŽĂŵďŝĞŶƚĞ͕ĠŵĞĚŝĚĂƚĂŵďĠŵĞŵŚĞĐƚĂƌĞŐůŽďĂů͘hŵĂƌĂnjĆŽĞŶƚƌĞ ƉĞŐĂĚĂĞĐŽůſŐŝĐĂĞďŝŽĐĂƉĂĐŝĚĂĚĞĚŽƉůĂŶĞƚĂŝŐƵĂůĂϭŝŶĚŝĐĂƋƵĞĂĞdžŝŐġŶĐŝĂŚƵŵĂŶĂƐŽďƌĞŽƐƌĞĐƵƌƐŽƐĚŽ ŵĞŝŽĂŵďŝĞŶƚĞĠƌĞƉŽƐƚĂŶĂƐƵĂƚŽƚĂůŝĚĂĚĞƉĞůŽƉůĂŶĞƚĂ͕ĚĞǀŝĚŽăĐĂƉĂĐŝĚĂĚĞŶĂƚƵƌĂůĚĞƌĞŐĞŶĞƌĂĕĆŽ͘^ĞĨŽƌ ŵĂŝŽƌƋƵĞϭ͕ĂƌĂnjĆŽŝŶĚŝĐĂƋƵĞĂĚĞŵĂŶĚĂŚƵŵĂŶĂĠƐƵƉĞƌŝŽƌăĐĂƉĂĐŝĚĂĚĞĚŽƉůĂŶĞƚĂĚĞƐĞƌĞĐƵƉĞƌĂƌĞ͕ƐĞĨŽƌ ŵĞŶŽƌƋƵĞϭ͕ŝŶĚŝĐĂƋƵĞŽƉůĂŶĞƚĂƐĞƌĞĐƵƉĞƌĂŵĂŝƐƌĂƉŝĚĂŵĞŶƚĞ͘ Razão entre a pegada ecológica e a biocapacidade do planeta 1.60 1.52 1.50 1.45 1.40 1.30 1.25 1.20 1.16 1.27 1.30 1.14 1.08 1.10 1.00 1.00 0.90 0.85 0.80 0.70 0.74 08 20 05 20 00 20 95 19 90 19 85 19 80 19 75 19 70 19 65 19 19 61 0.60 ŝƐƉŽŶşǀĞůĞŵ͗фŚƩƉ͗ͬͬĨŝŶĂŶĐĂƐĨĂĐĞŝƐ͘ǁŽƌĚƉƌĞƐƐ͘ĐŽŵх͘ĐĞƐƐŽĞŵ͗ϭϬĂŐŽ͘ϮϬϭϰ͘ KĂƵŵĞŶƚŽĚĂƌĂnjĆŽĞŶƚƌĞƉĞŐĂĚĂĞĐŽůſŐŝĐĂĞďŝŽĐĂƉĂĐŝĚĂĚĞƌĞƉƌĞƐĞŶƚĂĚŽŶŽŐƌĄĨŝĐŽĞǀŝĚĞŶĐŝĂ A ƌĞĚƵĕĆŽĚĂƐĄƌĞĂƐĚĞƉůĂŶƚŝŽĚŽƉůĂŶĞƚĂƉĂƌĂǀĂůŽƌĞƐŝŶĨĞƌŝŽƌĞƐĂϭϬϬϬϬŵ2ĚĞǀŝĚŽĂŽƉĂĚƌĆŽĂƚƵĂů ĚĞĐŽŶƐƵŵŽĚĞƉƌŽĚƵƚŽƐĂŐƌşĐŽůĂƐ͘ B ĂƵŵĞŶƚŽŐƌĂĚƵĂůĚĂĐĂƉĂĐŝĚĂĚĞŶĂƚƵƌĂůĚĞƌĞŐĞŶĞƌĂĕĆŽĚŽƉůĂŶĞƚĂĞŵƌĞůĂĕĆŽăƐĞdžŝŐġŶĐŝĂƐŚƵŵĂŶĂƐ͘ C ƌĞƉŽƐŝĕĆŽĚŽƐƌĞĐƵƌƐŽƐŶĂƚƵƌĂŝƐƉĞůŽƉůĂŶĞƚĂĞŵƐƵĂƚŽƚĂůŝĚĂĚĞĨƌĞŶƚĞăƐĞdžŝŐġŶĐŝĂƐŚƵŵĂŶĂƐ͘ D ŝŶĐĂƉĂĐŝĚĂĚĞĚĞƌĞŐĞŶĞƌĂĕĆŽŶĂƚƵƌĂůĚŽƉůĂŶĞƚĂĂŽůŽŶŐŽĚŽƉĞƌşŽĚŽϭϵϲϭͲϮϬϬϴ͘ E ƚĞŶĚġŶĐŝĂĂĚĞƐĞƋƵŝůşďƌŝŽŐƌĂĚƵĂůĞĐŽŶƚşŶƵŽĚĂƐƵƐƚĞŶƚĂďŝůŝĚĂĚĞĚŽƉůĂŶĞƚĂ͘ 5 E'E,Z/ *R1020145* QUESTÃO 04 /ŵƉŽƌƚĂŶƚĞ website ĚĞ ƌĞůĂĐŝŽŶĂŵĞŶƚŽ ĐĂŵŝŶŚĂ ƉĂƌĂ ϳϬϬŵŝůŚƁĞƐĚĞƵƐƵĄƌŝŽƐ͘KƵƚƌŽĐŽŶŚĞĐŝĚŽƐĞƌǀŝĚŽƌĚĞ microbloggingĂĐƵŵƵůĂϭϰϬŵŝůŚƁĞƐĚĞŵĞŶƐĂŐĞŶƐĂŽ ĚŝĂ͘ĐŽŵŽƐĞϳϱйĚĂƉŽƉƵůĂĕĆŽďƌĂƐŝůĞŝƌĂƉŽƐƚĂƐƐĞƵŵ ĐŽŵĞŶƚĄƌŝŽĂĐĂĚĂϮϰŚŽƌĂƐ͘ŽŵĂƐƌĞĚĞƐƐŽĐŝĂŝƐĐĂĚĂ ǀĞnjŵĂŝƐƉƌĞƐĞŶƚĞƐŶŽĚŝĂĂĚŝĂĚĂƐƉĞƐƐŽĂƐ͕ĠŝŶĞǀŝƚĄǀĞů ƋƵĞ ŵƵŝƚĂ ŐĞŶƚĞ ĞŶĐŽŶƚƌĞ ŶĞůĂƐ ƵŵĂ ŵĂŶĞŝƌĂ ĨĄĐŝů͕ ƌĄƉŝĚĂĞĂďƌĂŶŐĞŶƚĞĚĞƐĞŵĂŶŝĨĞƐƚĂƌ͘ hŵĂƌĞĚĞƐŽĐŝĂůĚĞƌĞĐƌƵƚĂŵĞŶƚŽƌĞǀĞůŽƵƋƵĞϵϮй ĚĂƐ ĞŵƉƌĞƐĂƐ ĂŵĞƌŝĐĂŶĂƐ ũĄ ƵƐĂƌĂŵ ŽƵ ƉůĂŶĞũĂŵ ƵƐĂƌ ĂƐ ƌĞĚĞƐ ƐŽĐŝĂŝƐ ŶŽ ƉƌŽĐĞƐƐŽ ĚĞ ĐŽŶƚƌĂƚĂĕĆŽ͘ ĞƐƚĂƐ͕ ϲϬй ĂƐƐƵŵĞŵ ƋƵĞ ďŝƐďŝůŚŽƚĂŵ Ă ǀŝĚĂ ĚŽƐ ĐĂŶĚŝĚĂƚŽƐĞŵwebsitesĚĞƌĞĚĞƐŽĐŝĂů͘ QUESTÃO 05 hŵĂ ŝĚĞŝĂ Ğ Ƶŵ ĂƉĂƌĞůŚŽ ƐŝŵƉůĞƐ ĚĞǀĞŵ͕ Ğŵ ďƌĞǀĞ͕ ĂũƵĚĂƌĂƐĂůǀĂƌǀŝĚĂƐĚĞƌĞĐĠŵͲŶĂƐĐŝĚŽƐ͘/ĚĞĂůŝnjĂĚŽƉĞůŽ ŵĞĐąŶŝĐŽĂƌŐĞŶƟŶŽ:ŽƌŐĞKĚſŶ͕ŽĚŝƐƉŽƐŝƟǀŽƋƵĞůĞǀĂƐĞƵ ƐŽďƌĞŶŽŵĞĚĞƐĞŶƚĂůĂƵŵďĞďġƉƌĞƐŽŶŽĐĂŶĂůǀĂŐŝŶĂůͷ Ğ͕ƉŽƌŵĂŝƐŝŶƵƐŝƚĂĚŽƋƵĞƉĂƌĞĕĂ͕ĨŽŝĐƌŝĂĚŽĐŽŵďĂƐĞĞŵ ƚĠĐŶŝĐĂƵƐĂĚĂƉĂƌĂƌĞŵŽǀĞƌƌŽůŚĂƐĚĞĚĞŶƚƌŽĚĞŐĂƌƌĂĨĂƐ͘ KĂƉĂƌĞůŚŽĐŽŶƐŝƐƚĞĞŵƵŵĂďŽůƐĂƉůĄƐƟĐĂŝŶƐĞƌŝĚĂĞŵ ƵŵĂƉƌŽƚĞĕĆŽĨĞŝƚĂĚŽŵĞƐŵŽŵĂƚĞƌŝĂůĞƋƵĞĞŶǀŽůǀĞĂ ĐĂďĞĕĂ ĚĂ ĐƌŝĂŶĕĂ͘ ƐƚĂŶĚŽ Ž ĚŝƐƉŽƐŝƟǀŽ ĚĞǀŝĚĂŵĞŶƚĞ ƉŽƐŝĐŝŽŶĂĚŽ͕ Ă ďŽůƐĂ Ġ ŝŶŇĂĚĂ ƉĂƌĂ ĂĚĞƌŝƌ ă ĐĂďĞĕĂ ĚŽ ďĞďġĞƐĞƌƉƵdžĂĚĂĂŽƐƉŽƵĐŽƐ͕ĚĞĨŽƌŵĂĂŶĆŽŵĂĐŚƵĐĄͲ ůŽ͘KŵĠƚŽĚŽĚĞKĚſŶĚĞǀĞƐƵďƐƟƚƵŝƌŽƵƚƌŽƐũĄĂƌĐĂŝĐŽƐ͕ ĐŽŵŽŽĚĞĨſƌĐĞƉƐĞŽĚĞƚƵďŽƐĚĞƐƵĐĕĆŽ͕ŽƐƋƵĂŝƐ͕ƐĞ ƵƐĂĚŽƐ ƉŽƌ ŵĆŽƐ ŵĂůƚƌĞŝŶĂĚĂƐ͕ ƉŽĚĞŵ ĐŽŵƉƌŽŵĞƚĞƌ ĂǀŝĚĂĚŽďĞďġ͕ŽƋƵĞ͕ƐĞŐƵŶĚŽĞƐƉĞĐŝĂůŝƐƚĂƐ͕ŶĆŽĚĞǀĞ ĂĐŽŶƚĞĐĞƌĐŽŵŽŶŽǀŽĞƋƵŝƉĂŵĞŶƚŽ͘ ZĞĂůŝnjĂĚĂ ƉŽƌ ƵŵĂ ĂŐġŶĐŝĂ ĚĞ ƌĞĐƌƵƚĂŵĞŶƚŽ͕ ƵŵĂ ƉĞƐƋƵŝƐĂ ĐŽŵ Ϯ ϱϬϬ ĞdžĞĐƵƟǀŽƐ ďƌĂƐŝůĞŝƌŽƐ ŵŽƐƚƌŽƵ ƋƵĞϰϰйĚĞƐĐůĂƐƐŝĮĐĂƌŝĂŵ͕ŶŽƉƌŽĐĞƐƐŽĚĞƐĞůĞĕĆŽ͕Ƶŵ ^ĞŐƵŶĚŽŽdŚĞEĞǁzŽƌŬdŝŵĞƐ͕ĂŝĚĞŝĂƌĞĐĞďĞƵĂƉŽŝŽ ĐĂŶĚŝĚĂƚŽƉŽƌƐĞƵĐŽŵƉŽƌƚĂŵĞŶƚŽĞŵƵŵĂƌĞĚĞƐŽĐŝĂů͘ ĚĂKƌŐĂŶŝnjĂĕĆŽDƵŶĚŝĂůĚĞ^ĂƷĚĞ;KD^ͿĞũĄĨŽŝĂƚĠ DƵŝƚĂƐ ƉĞƐƐŽĂƐ ũĄ ĞŶĨƌĞŶƚĂƌĂŵ ƉƌŽďůĞŵĂƐ ƉŽƌ ůŝĐĞŶĐŝĂĚĂ ƉŽƌ ƵŵĂ ĞŵƉƌĞƐĂ ŶŽƌƚĞͲĂŵĞƌŝĐĂŶĂ ĚĞ ĐĂƵƐĂ ĚĞ ŝŶĨŽƌŵĂĕƁĞƐ online͕ ƚĂŶƚŽ ŶŽ ĐĂŵƉŽ ƚĞĐŶŽůŽŐŝĂŵĠĚŝĐĂ͘EĆŽƐĞƐĂďĞƋƵĂŶĚŽŽĞƋƵŝƉĂŵĞŶƚŽ ƉĞƐƐŽĂů ƋƵĂŶƚŽ ŶŽ ƉƌŽĮƐƐŝŽŶĂů͘ ůŐƵŵĂƐ ĞŵƉƌĞƐĂƐ ĐŽŵĞĕĂƌĄĂƐĞƌƉƌŽĚƵnjŝĚŽŶĞŵŽƉƌĞĕŽĂƐĞƌĐŽďƌĂĚŽ͕ Ğ ŝŶƐƟƚƵŝĕƁĞƐ͕ ŝŶĐůƵƐŝǀĞ͕ ũĄ ĂĚŽƚĂƌĂŵ ĐĂƌƟůŚĂƐ ĚĞ ŵĂƐ ƉƌĞƐƵŵĞͲƐĞ ƋƵĞ ĞůĞ ŶĆŽ ƉĂƐƐĂƌĄ ĚĞ ϱϬ ĚſůĂƌĞƐ͕ ĐŽŵƌĞĚƵĕĆŽĚŽƉƌĞĕŽĞŵƉĂşƐĞƐŵĂŝƐƉŽďƌĞƐ͘ ĐŽŶĚƵƚĂĞŵƌĞĚĞƐƐŽĐŝĂŝƐ͘ 'h^DK͕'͘ƉĂƌĞůŚŽĚĞǀĞĨĂĐŝůŝƚĂƌƉĂƌƚŽƐĞŵƐŝƚƵĂĕƁĞƐĚĞ emergência͘ŝƐƉŽŶşǀĞůĞŵ͗фŚƩƉ͗ͬͬĞdžĂŵĞ͘Ăďƌŝů͘ĐŽŵ͘ďƌх͘ ĐĞƐƐŽĞŵ͗ϭϴŶŽǀ͘ϮϬϭϯ;ĂĚĂƉƚĂĚŽͿ͘ WK>KE/͕'͘KůĂĚŽƉĞƌŝŐŽƐŽĚĂƐƌĞĚĞƐƐŽĐŝĂŝƐ͘ZĞǀŝƐƚĂ/E&K͕ Ɖ͘ϳϬͲϳϱ͕ũƵůŚŽϮϬϭϭ;ĂĚĂƉƚĂĚŽͿ͘ ĞĂĐŽƌĚŽĐŽŵŽƚĞdžƚŽ͕ A ŵĂŝƐĚĂŵĞƚĂĚĞĚĂƐĞŵƉƌĞƐĂƐĂŵĞƌŝĐĂŶĂƐĞǀŝƚĂ ĂĐĞƐƐĂƌwebsites ĚĞƌĞĚĞƐƐŽĐŝĂŝƐ ĚĞĐĂŶĚŝĚĂƚŽƐ ĂĞŵƉƌĞŐŽ͘ B ĞŵƉƌĞƐĂƐ Ğ ŝŶƐƟƚƵŝĕƁĞƐ ĞƐƚĆŽ ĂƚĞŶƚĂƐ ĂŽ ĐŽŵƉŽƌƚĂŵĞŶƚŽ ĚĞ ƐĞƵƐ ĨƵŶĐŝŽŶĄƌŝŽƐ Ğŵ websites ĚĞƌĞĚĞƐƐŽĐŝĂŝƐ͘ C Ă ĐŽŵƉůĞdžŝĚĂĚĞ ĚŽƐ ƉƌŽĐĞĚŝŵĞŶƚŽƐ ĚĞ ƌĂƐƚƌĞŝŽ Ğ ŵŽŶŝƚŽƌĂŵĞŶƚŽ ĚĞ ƵŵĂ ƌĞĚĞ ƐŽĐŝĂů ŝŵƉĞĚĞ ƋƵĞ ĂƐ ĞŵƉƌĞƐĂƐ ƚĞŶŚĂŵ ĂĐĞƐƐŽ ĂŽ ƉĞƌĮů ĚĞ ƐĞƵƐ ĨƵŶĐŝŽŶĄƌŝŽƐ͘ D ĂƐ ĐĂƌƟůŚĂƐ ĚĞ ĐŽŶĚƵƚĂ ĂĚŽƚĂĚĂƐ ŶĂƐ ĞŵƉƌĞƐĂƐ ƉƌŽşďĞŵŽƵƐŽĚĞƌĞĚĞƐƐŽĐŝĂŝƐƉĞůŽƐĨƵŶĐŝŽŶĄƌŝŽƐ͕Ğŵ ǀĞnjĚĞƌĞĐŽŵĞŶĚĂƌŵƵĚĂŶĕĂƐĚĞĐŽŵƉŽƌƚĂŵĞŶƚŽ͘ E Ă ŵĂŝŽƌŝĂ ĚŽƐ ĞdžĞĐƵƟǀŽƐ ďƌĂƐŝůĞŝƌŽƐ ƵƟůŝnjĂƌŝĂ ŝŶĨŽƌŵĂĕƁĞƐ ŽďƟĚĂƐ Ğŵ websites ĚĞ ƌĞĚĞƐ ƐŽĐŝĂŝƐ͕ ƉĂƌĂ ĚĞƐĐůĂƐƐŝĮĐĂƌ Ƶŵ ĐĂŶĚŝĚĂƚŽ Ğŵ ƉƌŽĐĞƐƐŽĚĞƐĞůĞĕĆŽ͘ *R1020146* ŽŵƌĞůĂĕĆŽĂŽƚĞdžƚŽĂĐŝŵĂ͕ĂǀĂůŝĞĂƐĂĮƌŵĂĕƁĞƐĂƐĞŐƵŝƌ͘ /͘ ƵƟůŝnjĂĕĆŽ ĚŽ ŵĠƚŽĚŽ ĚĞ KĚſŶ ƉŽĚĞƌĄ ƌĞĚƵnjŝƌĂƚĂdžĂĚĞŵŽƌƚĂůŝĚĂĚĞĚĞĐƌŝĂŶĕĂƐĂŽ ŶĂƐĐĞƌ͕ŵĞƐŵŽĞŵƉĂşƐĞƐƉŽďƌĞƐ͘ //͘ WŽƌ ƐĞƌ ƵŵĂ ǀĂƌŝĂŶƚĞ ĚŽƐ ƚƵďŽƐ ĚĞ ƐƵĐĕĆŽ͕ Ž ĂƉĂƌĞůŚŽĚĞƐĞŶǀŽůǀŝĚŽƉŽƌKĚſŶĠƌĞƐƵůƚĂĚŽĚĞ ĂƉĞƌĨĞŝĕŽĂŵĞŶƚŽĚĞĞƋƵŝƉĂŵĞŶƚŽƐĚĞƉĂƌƚŽ͘ ///͘ WŽƌƐĞƵƵƐŽƐŝŵƉůĞƐ͕ŽĚŝƐƉŽƐŝƟǀŽĚĞMĚŽŶƚĞŵ ŐƌĂŶĚĞƉŽƚĞŶĐŝĂůĚĞƐĞƌƵƐĂĚŽĞŵƉĂşƐĞƐŽŶĚĞ ŽƉĂƌƚŽĠƵƐƵĂůŵĞŶƚĞƌĞĂůŝnjĂĚŽƉŽƌƉĂƌƚĞŝƌĂƐ͘ /s͘ ƉŽƐƐŝďŝůŝĚĂĚĞ ĚĞ͕ Ğŵ ƉĂşƐĞƐ ŵĂŝƐ ƉŽďƌĞƐ͕ ƌĞĚƵnjŝƌͲƐĞ Ž ƉƌĞĕŽ ĚŽ ĂƉĂƌĞůŚŽ ŝĚĞĂůŝnjĂĚŽ ƉŽƌ KĚſŶ ĞǀŝĚĞŶĐŝĂ ƉƌĞŽĐƵƉĂĕĆŽ ĐŽŵ Ă ƌĞƐƉŽŶƐĂďŝůŝĚĂĚĞƐŽĐŝĂů͘ ĐŽƌƌĞƚŽĂƉĞŶĂƐŽƋƵĞƐĞĂĮƌŵĂĞŵ A /Ğ//͘ B /Ğ/s͘ C //Ğ///͘ D /͕///Ğ/s͘ E //͕///Ğ/s͘ 6 E'E,Z/ QUESTÃO 06 ƐŵƵůŚĞƌĞƐĨƌĞƋƵĞŶƚĂŵŵĂŝƐŽƐďĂŶĐŽƐĞƐĐŽůĂƌĞƐƋƵĞŽƐŚŽŵĞŶƐ͕ĚŝǀŝĚĞŵƐĞƵƚĞŵƉŽĞŶƚƌĞŽƚƌĂďĂůŚŽĞŽƐ ĐƵŝĚĂĚŽƐĐŽŵĂĐĂƐĂ͕ŐĞƌĂŵƌĞŶĚĂĨĂŵŝůŝĂƌ͕ƉŽƌĠŵĐŽŶƟŶƵĂŵŐĂŶŚĂŶĚŽŵĞŶŽƐĞƚƌĂďĂůŚĂŶĚŽŵĂŝƐƋƵĞŽƐ ŚŽŵĞŶƐ͘ ƐƉŽůşƟĐĂƐĚĞďĞŶĞİĐŝŽƐŝŵƉůĞŵĞŶƚĂĚĂƐƉŽƌĞŵƉƌĞƐĂƐƉƌĞŽĐƵƉĂĚĂƐĞŵĨĂĐŝůŝƚĂƌĂǀŝĚĂĚĂƐĨƵŶĐŝŽŶĄƌŝĂƐƋƵĞ ƚġŵĐƌŝĂŶĕĂƉĞƋƵĞŶĂĞŵĐĂƐĂũĄĞƐƚĆŽĐŚĞŐĂŶĚŽĂŽƌĂƐŝů͘ĐŽƌĚŽƐĚĞŚŽƌĄƌŝŽƐŇĞdžşǀĞŝƐ͕ƉƌŽŐƌĂŵĂƐĐŽŵŽ ĂƵdžşůŝŽͲĐƌĞĐŚĞ͕ĂƵdžşůŝŽͲďĂďĄĞĂƵdžşůŝŽͲĂŵĂŵĞŶƚĂĕĆŽƐĆŽĂůŐƵŶƐĚŽƐďĞŶĞİĐŝŽƐŽĨĞƌĞĐŝĚŽƐ͘ ŝƐƉŽŶşǀĞůĞŵ͗фŚƩƉ͗ͬͬǁǁǁϭ͘ĨŽůŚĂ͘ƵŽů͘ĐŽŵ͘ďƌх͘ĐĞƐƐŽĞŵ͗ϯϬũƵů͘ϮϬϭϯ;ĂĚĂƉƚĂĚŽͿ͘ JORNADA MÉDIA TOTAL DE TRABALHO POR SEMANA NO BRASIL - (EM HORAS) mãe com filhos 25,9 pai com filhos 36,8 15,5 mulher chefe de casal com filhos 41,4 30,3 homem chefe de casal com filhos 36,5 10,1 44,4 mulher cônjuge em casal com filhos 31,7 0 10 34 20 30 40 50 60 70 tempo médio por semana dedicado aos afazeres domésticos tempo médio por semana dedicado ao trabalho remunerado ŝƐƉŽŶşǀĞůĞŵ͗фŚƩƉ͗ͬͬŝƉĞĂ͘ŐŽǀ͘ďƌх͘ĐĞƐƐŽĞŵ͗ϯϬũƵů͘ϮϬϭϯ͘ ŽŶƐŝĚĞƌĂŶĚŽŽƚĞdžƚŽĞŽŐƌĄĮĐŽ͕ĂǀĂůŝĞĂƐĂĮƌŵĂĕƁĞƐĂƐĞŐƵŝƌ͘ /͘ KƐŽŵĂƚſƌŝŽĚŽƚĞŵƉŽĚĞĚŝĐĂĚŽƉĞůĂƐŵƵůŚĞƌĞƐĂŽƐĂĨĂnjĞƌĞƐĚŽŵĠƐƟĐŽƐĞĂŽƚƌĂďĂůŚŽƌĞŵƵŶĞƌĂĚŽ ĠƐƵƉĞƌŝŽƌĂŽĚĞĚŝĐĂĚŽƉĞůŽƐŚŽŵĞŶƐ͕ŝŶĚĞƉĞŶĚĞŶƚĞŵĞŶƚĞĚŽĨŽƌŵĂƚŽĚĂĨĂŵşůŝĂ͘ //͘ KĨƌĂŐŵĞŶƚŽĚĞƚĞdžƚŽĞŽƐĚĂĚŽƐĚŽŐƌĄĮĐŽĂƉŽŶƚĂŵƉĂƌĂĂŶĞĐĞƐƐŝĚĂĚĞĚĞĐƌŝĂĕĆŽĚĞƉŽůşƟĐĂƐƋƵĞ ƉƌŽŵŽǀĂŵĂŝŐƵĂůĚĂĚĞĞŶƚƌĞŽƐŐġŶĞƌŽƐŶŽƋƵĞĐŽŶĐĞƌŶĞ͕ƉŽƌĞdžĞŵƉůŽ͕ĂƚĞŵƉŽŵĠĚŝŽĚĞĚŝĐĂĚŽ ĂŽƚƌĂďĂůŚŽĞƌĞŵƵŶĞƌĂĕĆŽƌĞĐĞďŝĚĂ͘ ///͘ EŽ ĨƌĂŐŵĞŶƚŽ ĚĞ ƌĞƉŽƌƚĂŐĞŵ ĂƉƌĞƐĞŶƚĂĚŽ͕ ƌĞƐƐĂůƚĂͲƐĞ Ă ĚŝĨĞƌĞŶĕĂ ĞŶƚƌĞ Ž ƚĞŵƉŽ ĚĞĚŝĐĂĚŽ ƉŽƌ ŵƵůŚĞƌĞƐĞŚŽŵĞŶƐĂŽƚƌĂďĂůŚŽƌĞŵƵŶĞƌĂĚŽ͕ƐĞŵĂůƵƐĆŽĂŽƐĂĨĂnjĞƌĞƐĚŽŵĠƐƟĐŽƐ͘ ĐŽƌƌĞƚŽŽƋƵĞƐĞĂĮƌŵĂĞŵ A B C D E /͕ĂƉĞŶĂƐ͘ ///͕ĂƉĞŶĂƐ͘ /Ğ//͕ĂƉĞŶĂƐ͘ //Ğ///͕ĂƉĞŶĂƐ͘ /͕//Ğ///͘ 7 E'E,Z/ *R1020147* QUESTÃO 07 QUESTÃO 08 K ƋƵĂĚƌŽ Ă ƐĞŐƵŝƌ ĂƉƌĞƐĞŶƚĂ Ă ƉƌŽƉŽƌĕĆŽ ;йͿ ŽŶƐƚĂŶƚĞƐ ƚƌĂŶƐĨŽƌŵĂĕƁĞƐ ŽĐŽƌƌĞƌĂŵ ŶŽƐ ŵĞŝŽƐ ĚĞ ƚƌĂďĂůŚĂĚŽƌĞƐ ƉŽƌ ĨĂŝdžĂ ĚĞ ƚĞŵƉŽ ŐĂƐƚŽ ŶŽ ƌƵƌĂůĞƵƌďĂŶŽ͕ĂƉĂƌƟƌĚŽƐĠĐƵůŽyy͘ŽŵŽĂĚǀĞŶƚŽ ĚĞƐůŽĐĂŵĞŶƚŽ ĐĂƐĂͲƚƌĂďĂůŚŽ͕ ŶŽ ƌĂƐŝů Ğ Ğŵ ƚƌġƐ ĚĂŝŶĚƵƐƚƌŝĂůŝnjĂĕĆŽ͕ŚŽƵǀĞŵƵĚĂŶĕĂƐŝŵƉŽƌƚĂŶƚĞƐŶŽ ĐŝĚĂĚĞƐďƌĂƐŝůĞŝƌĂƐ͘ ŵŽĚŽĚĞǀŝĚĂĚĂƐƉĞƐƐŽĂƐ͕ĞŵƐĞƵƐƉĂĚƌƁĞƐĐƵůƚƵƌĂŝƐ͕ ǀĂůŽƌĞƐ Ğ ƚƌĂĚŝĕƁĞƐ͘ K ĐŽŶũƵŶƚŽ ĚĞ ĂĐŽŶƚĞĐŝŵĞŶƚŽƐ Tempo de Rio de São Brasil ƵƌŝƟďĂ deslocamento Janeiro Paulo ƉƌŽǀŽĐŽƵ͕ ƚĂŶƚŽ ŶĂ njŽŶĂ ƵƌďĂŶĂ ƋƵĂŶƚŽ ŶĂ ƌƵƌĂů͕ ƉƌŽďůĞŵĂƐĐŽŵŽĞdžƉůŽƐĆŽĚĞŵŽŐƌĄĮĐĂ͕ƉƌĞũƵşnjŽŶĂƐ Até cinco minutos ϭϮ͕ϳϬ ϱ͕ϴϬ ϱ͕ϭϬ ϳ͕ϴϬ ĂƟǀŝĚĂĚĞƐĂŐƌşĐŽůĂƐĞǀŝŽůġŶĐŝĂ͘ De seis minutos até meia hora Mais de meia hora até uma hora Mais de uma hora até duas horas Mais de duas horas ϱϮ͕ϮϬ ϯϮ͕ϭϬ ϯϭ͕ϲϬ ϰϱ͕ϴϬ /ŶŝĐŝĂƌĂŵͲƐĞ ŝŶƷŵĞƌĂƐ ƚƌĂŶƐĨŽƌŵĂĕƁĞƐ ŶĂ ŶĂƚƵƌĞnjĂ͕ ĐƌŝĂŶĚŽͲƐĞƚĠĐŶŝĐĂƐƉĂƌĂŽďũĞƚŽƐĂƚĠĞŶƚĆŽƐĞŵƵƟůŝĚĂĚĞ Ϯϯ͕ϲϬ ϯϯ͕ϱϬ ϯϰ͕ϲϬ ϯϮ͕ϰϬ ƉĂƌĂ Ž ŚŽŵĞŵ͘ /ƐƐŽ Ɛſ ĨŽŝ ƉŽƐƐşǀĞů Ğŵ ĚĞĐŽƌƌġŶĐŝĂ ϵ͕ϴϬ Ϯϯ͕ϮϬ Ϯϯ͕ϯϬ ϭϮ͕ϵϬ ĚŽƐ ƌĞĐƵƌƐŽƐ ŶĂƚƵƌĂŝƐ ĞdžŝƐƚĞŶƚĞƐ͕ ƋƵĞ ƉƌŽƉŝĐŝĂƌĂŵ ĞƐƚƌƵƚƵƌĂĚĞĐƌĞƐĐŝŵĞŶƚŽĞďƵƐĐĂĚĞƉƌŽƐƉĞƌŝĚĂĚĞ͕Ž ϭ͕ϴϬ ϱ͕ϱϬ ϱ͕ϯϬ ϭ͕ϮϬ ƋƵĞĨĂnjĚĂĞdžƉĞƌŝŵĞŶƚĂĕĆŽƵŵŵĠƚŽĚŽĚĞƚƌĂŶƐĨŽƌŵĂƌ E^KϮϬϭϬͬ/';ĂĚĂƉƚĂĚŽͿ͘ ŽƐƌĞĐƵƌƐŽƐĞŵďĞŶĞİĐŝŽƉƌſƉƌŝŽ͘ Žŵ ďĂƐĞ ŶŽƐ ĚĂĚŽƐ ĂƉƌĞƐĞŶƚĂĚŽƐ Ğ ĐŽŶƐŝĚĞƌĂŶĚŽ Ă ^EdK^͕D͘DĞƚĂŵŽƌĨŽƐĞƐĚŽĞƐƉĂĕŽŚĂďŝƚĂĚŽ. ĚŝƐƚƌŝďƵŝĕĆŽ ĚĂ ƉŽƉƵůĂĕĆŽ ƚƌĂďĂůŚĂĚŽƌĂ ŶĂƐ ĐŝĚĂĚĞƐ Ğ ^ĆŽWĂƵůŽ͗,ƵĐŝƚĞĐ͕ϭϵϴϴ;ĂĚĂƉƚĂĚŽͿ͘ ĂƐƉŽůşƟĐĂƐƉƷďůŝĐĂƐĚŝƌĞĐŝŽŶĂĚĂƐăŵŽďŝůŝĚĂĚĞƵƌďĂŶĂ͕ ĂǀĂůŝĞĂƐĂĮƌŵĂĕƁĞƐĂƐĞŐƵŝƌ͘ /͘ ĚŝƐƚƌŝďƵŝĕĆŽ ĚĂƐ ƉĞƐƐŽĂƐ ƉŽƌ ĨĂŝdžĂ ĚĞ ƚĞŵƉŽ ƉĂƌƟƌĚĂƐŝĚĞŝĂƐĞdžƉƌĞƐƐĂƐŶŽƚĞdžƚŽĂĐŝŵĂ͕ĐŽŶĐůƵŝͲƐĞ ĚĞ ĚĞƐůŽĐĂŵĞŶƚŽ ĐĂƐĂͲƚƌĂďĂůŚŽ ŶĂ ƌĞŐŝĆŽ ƋƵĞ͕ŶŽƌĂƐŝůĚŽƐĠĐƵůŽyy͕ ŵĞƚƌŽƉŽůŝƚĂŶĂĚŽZŝŽĚĞ:ĂŶĞŝƌŽĠƉƌſdžŝŵĂăƋƵĞ ƐĞǀĞƌŝĮĐĂĞŵ^ĆŽWĂƵůŽ͕ŵĂƐŶĆŽĞŵƵƌŝƟďĂĞ A Ă ŝŶĚƵƐƚƌŝĂůŝnjĂĕĆŽ ŽĐŽƌƌĞƵ ŝŶĚĞƉĞŶĚĞŶƚĞŵĞŶƚĞ ĚŽġdžŽĚŽƌƵƌĂůĞĚŽƐƌĞĐƵƌƐŽƐŶĂƚƵƌĂŝƐĚŝƐƉŽŶşǀĞŝƐ͘ ŶĂŵĠĚŝĂďƌĂƐŝůĞŝƌĂ͘ //͘ EĂƐŵĞƚƌſƉŽůĞƐ͕ĞŵŐĞƌĂů͕ĂŵĂŝŽƌŝĂĚŽƐƉŽƐƚŽƐ B ŽġdžŽĚŽƌƵƌĂůƉĂƌĂĂƐĐŝĚĂĚĞƐŶĆŽƉƌĞũƵĚŝĐŽƵĂƐ ĚĞ ƚƌĂďĂůŚŽ ĞƐƚĄ ůŽĐĂůŝnjĂĚĂ ŶĂƐ ĄƌĞĂƐ ƵƌďĂŶĂƐ ĂƚŝǀŝĚĂĚĞƐĂŐƌşĐŽůĂƐŶĞŵŽŵĞŝŽƌƵƌĂůƉŽƌƋƵĞ ĐĞŶƚƌĂŝƐ͕ĞĂƐƌĞƐŝĚġŶĐŝĂƐĚĂƉŽƉƵůĂĕĆŽĚĞďĂŝdžĂ ŶŽǀĂƐ ƚĞĐŶŽůŽŐŝĂƐ ŚĂǀŝĂŵ ƐŝĚŽ ŝŶƚƌŽĚƵnjŝĚĂƐ ƌĞŶĚĂ ĞƐƚĆŽ ĐŽŶĐĞŶƚƌĂĚĂƐ Ğŵ ĄƌĞĂƐ ŝƌƌĞŐƵůĂƌĞƐ ŶŽĐĂŵƉŽ͘ ŽƵŶĂƉĞƌŝĨĞƌŝĂ͕ŽƋƵĞĂƵŵĞŶƚĂŽƚĞŵƉŽŐĂƐƚŽƉŽƌ ĞƐƚĂƉŽƉƵůĂĕĆŽŶŽĚĞƐůŽĐĂŵĞŶƚŽĐĂƐĂͲƚƌĂďĂůŚŽĞ C ŚŽŵĞŶƐĞŵƵůŚĞƌĞƐĂĚǀŝŶĚŽƐĚŽĐĂŵƉŽĚĞŝdžĂƌĂŵ ŽĐƵƐƚŽĚŽƚƌĂŶƐƉŽƌƚĞ͘ ƐƵĂ ĐƵůƚƵƌĂ Ğ ƐĞ ĂĚĂƉƚĂƌĂŵ Ă ŽƵƚƌĂ͕ ĐŝƚĂĚŝŶĂ͕ ///͘ Ɛ ƉŽůşƟĐĂƐ ƉƷďůŝĐĂƐ ƌĞĨĞƌĞŶƚĞƐ Ă ƚƌĂŶƐƉŽƌƚĞƐ ƚŽƚĂůŵĞŶƚĞĚŝĨĞƌĞŶƚĞĞŽƉŽƐƚĂĂŽƐƐĞƵƐǀĂůŽƌĞƐ͘ ƵƌďĂŶŽƐ͕ ĐŽŵŽ͕ ƉŽƌ ĞdžĞŵƉůŽ͕ ŝůŚĞƚĞ jŶŝĐŽ Ğ sĞşĐƵůŽ >ĞǀĞ ƐŽďƌĞ dƌŝůŚŽƐ ;s>dͿ͕ ĂŽ ƐĞƌĞŵ D ƚĂŶƚŽ Ž ĞƐƉĂĕŽ ƵƌďĂŶŽ ƋƵĂŶƚŽ Ž ƌƵƌĂů ƐŽĨƌĞƌĂŵ ŝŵƉůĞŵĞŶƚĂĚĂƐ͕ ĐŽŶƚƌŝďƵĞŵ ƉĂƌĂ ƌĞĚƵĕĆŽ ĚŽ ƚƌĂŶƐĨŽƌŵĂĕƁĞƐ ĚĞĐŽƌƌĞŶƚĞƐ ĚĂ ĂƉůŝĐĂĕĆŽ ĚĞ ƚĞŵƉŽ ŐĂƐƚŽ ŶŽ ĚĞƐůŽĐĂŵĞŶƚŽ ĐĂƐĂͲƚƌĂďĂůŚŽ Ğ ŶŽǀĂƐ ƚĞĐŶŽůŽŐŝĂƐ ăƐ ĂƟǀŝĚĂĚĞƐ ŝŶĚƵƐƚƌŝĂŝƐ Ğ ĚŽĐƵƐƚŽĚŽƚƌĂŶƐƉŽƌƚĞ͘ ĂŐƌşĐŽůĂƐ͘ ĐŽƌƌĞƚŽŽƋƵĞƐĞĂĮƌŵĂĞŵ E ŽƐ ŵŝŐƌĂŶƚĞƐ ĐŚĞŐĂƌĂŵ ăƐ ŐƌĂŶĚĞƐ ĐŝĚĂĚĞƐ A /͕ĂƉĞŶĂƐ͘ ƚƌĂnjĞŶĚŽ ĐŽŶƐŝŐŽ ǀĂůŽƌĞƐ Ğ ƚƌĂĚŝĕƁĞƐ͕ ƋƵĞ ůŚĞƐ B ///͕ĂƉĞŶĂƐ͘ ƉŽƐƐŝďŝůŝƚĂƌĂŵ ŵĂŶƚĞƌ ŝŶƚĂĐƚĂ ƐƵĂ ĐƵůƚƵƌĂ͕ ƚĂů C /Ğ//͕ĂƉĞŶĂƐ͘ ĐŽŵŽƐĞŵĂŶŝĨĞƐƚĂǀĂŶĂƐƉĞƋƵĞŶĂƐĐŝĚĂĚĞƐĞŶŽ D //Ğ///͕ĂƉĞŶĂƐ͘ ŵĞŝŽƌƵƌĂů͘ E /͕//Ğ///͘ *R1020148* ϴ E'E,Z/ COMPONENTE ESPECÍFICO QUESTÃO DISCURSIVA 3 ŝŶŽǀĂĕĆŽ ĞƐƚĄ ĂƐƐŽĐŝĂĚĂ ĂŽ ĐƌĞƐĐŝŵĞŶƚŽ ƐƵƐƚĞŶƚĄǀĞů͘ hŵ ĞƐƚƵĚŽ ƌĞĂůŝnjĂĚŽ ƉĞůŽ /ŶƐƟƚƵƚŽ ĚĞ WĞƐƋƵŝƐĂ ĐŽŶƀŵŝĐĂ ƉůŝĐĂĚĂ ;/WͿ͕ Ğŵ ϮϬϬϱ͕ ĂƉŽŶƚŽƵ ƋƵĞ ϭ͕ϳй ĚĂ ŝŶĚƷƐƚƌŝĂ͕ ƌĞƉƌĞƐĞŶƚĂĚĂ ƉŽƌ ĞŵƉƌĞƐĂƐ ƋƵĞ ŝŶǀĞƐƚĞŵ Ğŵ ŝŶŽǀĂĕĆŽ͕ ƐĆŽ ƌĞƐƉŽŶƐĄǀĞŝƐ ƉŽƌ Ϯϱ͕ϵй ĚŽ ĨĂƚƵƌĂŵĞŶƚŽ ŝŶĚƵƐƚƌŝĂů ŶŽ ƌĂƐŝů͕ ĂƐƐŝŵ ĐŽŵŽ ƉŽƌ ϭϯ͕ϮйĚŽŶƷŵĞƌŽƚŽƚĂůĚĞĞŵƉƌĞŐŽƐŐĞƌĂĚŽƐŶŽƉĂşƐ͘ K ƌĂƐŝů ĂƉƌĞƐĞŶƚĂ ĞŶŽƌŵĞ ĚŝǀĞƌƐŝĚĂĚĞ ĐƵůƚƵƌĂů Ğ ĂĐĂĚġŵŝĐĂ͕ ŵĂƐ ĞŶĐŽŶƚƌĂ ĚŝĮĐƵůĚĂĚĞ ƉĂƌĂ ŝŶƐĞƌŝͲůĂ ŶŽ ĐŽŶƚĞdžƚŽŽƌŐĂŶŝnjĂĐŝŽŶĂů͘WĂƌĂŝůƵƐƚƌĂƌ͕ŽďƐĞƌǀĂͲƐĞƋƵĞ͕ŶŽƌĂƐŝů͕ŵĞŶŽƐĚĞϮϳйĚŽƐĐŝĞŶƟƐƚĂƐĂƚƵĂůŵĞŶƚĞ ƚƌĂďĂůŚĂŵĞŵƉƌŽũĞƚŽƐůŝŐĂĚŽƐĂĞŵƉƌĞƐĂƐ͕ĞŶƋƵĂŶƚŽ͕ĞŵƉĂşƐĞƐĐŽŵŽŽƌĠŝĂĚŽ^ƵůĞƐƚĂĚŽƐhŶŝĚŽƐ͕ĞƐƐĞƐ ǀĂůŽƌĞƐƐƵƉĞƌĂŵϳϱй͘ ^^WK͕&͘/ŶŽǀĂĕĆŽŶŽƌĂƐŝůdž/ŶŽǀĂĕĆŽŶŽDƵŶĚŽ͘Pequenas Empresas & Grandes Negócios͕ϮϬϭϰ͘ ŝƐƉŽŶşǀĞůĞŵ͗фŚƩƉ͗ͬͬƌĞǀŝƐƚĂƉĞŐŶ͘ŐůŽďŽ͘ĐŽŵх͘ĐĞƐƐŽĞŵ͗ϮϴũƵů͘ϮϬϭϰ;ĂĚĂƉƚĂĚŽͿ͘ ŽŶƐŝĚĞƌĂŶĚŽĂƐŝŶĨŽƌŵĂĕƁĞƐĂĐŝŵĂ͕ĞůĂďŽƌĞƵŵƚĞdžƚŽĚŝƐƐĞƌƚĂƟǀŽĂĐĞƌĐĂĚŽƐĞŐƵŝŶƚĞƚĞŵĂ͗ ŝŵƉŽƌƚąŶĐŝĂĚĂŝŶŽǀĂĕĆŽƉĂƌĂŽĐƌĞƐĐŝŵĞŶƚŽƐƵƐƚĞŶƚĄǀĞů͘ ŵƐĞƵƚĞdžƚŽ͕ĂďŽƌĚĞŽƐƐĞŐƵŝŶƚĞƐĂƐƉĞĐƚŽƐ͗ ĂͿ ĐŽŶƚƌŝďƵŝĕĆŽŽďƟĚĂƉŽƌŵĞŝŽĚĂĂƉƌŽdžŝŵĂĕĆŽĚĞƉĞƐƋƵŝƐĂĚŽƌĞƐĐŽŵĂƐĚĞŵĂŶĚĂƐĚĂƐŽƌŐĂŶŝnjĂĕƁĞƐĚŽ ƐĞƚŽƌƉƌŽĚƵƟǀŽ͖;ǀĂůŽƌ͗ϱ͕ϬƉŽŶƚŽƐͿ ďͿ ĞdžĞŵƉůŽ ĚĞ Ƶŵ ƉƌŽũĞƚŽ ƋƵĞ ƉŽĚĞ ƐĞƌ ĚĞƐĞŶǀŽůǀŝĚŽ͕ ŶĂ ďƵƐĐĂ ƉĞůŽ ĚĞƐĞŶǀŽůǀŝŵĞŶƚŽ ƐƵƐƚĞŶƚĄǀĞů͘ ;ǀĂůŽƌ͗ϱ͕ϬƉŽŶƚŽƐͿ RASCUNHO 1 2 ϯ 4 5 6 7 ϴ 9 10 11 12 ϭϯ 14 15 9 E'E,Z/ *R1020149* QUESTÃO DISCURSIVA 4 hŵƉŽĕŽĂƌƚĞƐŝĂŶŽĞƐƚĄƉƌŽĚƵnjŝŶĚŽĂƉĂƌƟƌĚĞƵŵĂƋƵşĨĞƌŽŚĞƌŵĞƟĐĂŵĞŶƚĞĨĞĐŚĂĚŽ͕ŽƵƐĞũĂ͕ĂŽůŽŶŐŽĚĞ ƚŽĚŽŽƐĞƵĐŽŶƚŽƌŶŽ͕ŶĆŽŚĄĂďĞƌƚƵƌĂƐƋƵĞƉŽƐƐŝďŝůŝƚĞŵƌĞĂůŝŵĞŶƚĂĕĆŽĚĞĄŐƵĂƉĂƌĂŽĂƋƵşĨĞƌŽ͘ ĞƋƵĂĕĆŽĚĂƉƌŽĚƵĕĆŽĚŽƉŽĕŽĠĚĞĮŶŝĚĂƉŽƌ͗ Q(t) = Qi.e−a.t ĞŵƋƵĞ͗ Q(t) ĠĂǀĂnjĆŽĚĞĄŐƵĂ;ŵϹͬĚͿĞŵƋƵĂůƋƵĞƌƚĞŵƉŽt͖ Qi ĠĂǀĂnjĆŽŝŶŝĐŝĂůĚĞĄŐƵĂ;ŵϹͬĚͿĚŽƉŽĕŽ͖ e ĠŽŶƷŵĞƌŽĚĞƵůĞƌ;ĞсϮ͕ϳϭϴϮϴ͘͘͘Ϳ͖ a ĠĂƚĂdžĂĚĞĚĞĐůşŶŝŽĚŽƉŽĕŽ;ĂŶŽ-1Ϳ͖ t ĠŽƚĞŵƉŽ;ĂŶŽͿ͘ ƉƌŽĚƵĕĆŽĂĐƵŵƵůĂĚĂĚŽƉŽĕŽĠĚĞĮŶŝĚĂƉĞůĂŝŶƚĞŐƌĂůĚĂĞƋƵĂĕĆŽĚĂƉƌŽĚƵĕĆŽĂŽůŽŶŐŽĚŽƚĞŵƉŽ͕ƋƵĞ ƉŽĚĞƐĞƌĚĞƐĐƌŝƚĂƉŽƌ͗ W p(t) = 365 [Qi − Q(t)] a ĞŵƋƵĞ͗ W p(t) ĠĂƉƌŽĚƵĕĆŽĂĐƵŵƵůĂĚĂ;ŵϹͿĚŽƉŽĕŽĚĞƐĚĞŽŝŶşĐŝŽĚĂƉƌŽĚƵĕĆŽĂƚĠŽƚĞŵƉŽt͖ Qi ĠĂǀĂnjĆŽŝŶŝĐŝĂůĚĞĄŐƵĂ;ŵϹͬĚͿĚŽƉŽĕŽ͖ Q(t)ĠĂǀĂnjĆŽĚĞĄŐƵĂ;ŵϹͬĚͿĞŵƋƵĂůƋƵĞƌƚĞŵƉŽt͖ a ĠĂƚĂdžĂĚĞĚĞĐůşŶŝŽ;ĂŶŽ-1ͿĚŽƉŽĕŽ͘ ŽŵďĂƐĞŶĞƐƐĂƐŝŶĨŽrŵĂĕƁĞƐ͕ũƵůŐƵĞĂƐĂĮƌŵĂĕƁĞƐĂďĂŝdžŽĐŽŵŽĐĞƌƚĂƐŽƵĞƌƌĂĚĂƐĞũƵƐƟĮƋƵĞƐƵĂƌĞƐƉŽƐƚĂ͘ ĂͿ ƉĞƐĂƌ ĚĂ ĞƋƵĂĕĆŽ ĚĂ ƉƌŽĚƵĕĆŽ ĚŽ ƉŽĕŽ ƐĞƌ ƵŵĂ ĞƋƵĂĕĆŽ ĞdžƉŽŶĞŶĐŝĂů ĐŽŵ Ž ƚĞŵƉŽ͕ Ă ĞƋƵĂĕĆŽ ĚĂ ƉƌŽĚƵĕĆŽĂĐƵŵƵůĂĚĂĠůŝŶĞĂƌĐŽŵŽƚĞŵƉŽ͘;ǀĂůŽƌ͗ϯ͕ϬƉŽŶƚŽƐͿ ďͿ ĚĞƌŝǀĂĚĂ ĚĂ ĞƋƵĂĕĆŽ ĚĂ ƉƌŽĚƵĕĆŽ ĂĐƵŵƵůĂĚĂ ĐŽŵ Ž ƚĞŵƉŽ ƌĞƐƵůƚĂƌĄ Ğŵ ƵŵĂ ĨƵŶĕĆŽ ůŽŐĂƌşƚŵŝĐĂ͘ ;ǀĂůŽƌ͗ϯ͕ϬƉŽŶƚŽƐͿ ĐͿ ĞƉŽƐƐĞĚĞƵŵƉĞƋƵĞŶŽŚŝƐƚſƌŝĐŽĚĞƉƌŽĚƵĕĆŽ͕ĐŽŵŽƋƵĂůƐĞĐŽŶƐĞŐƵĞĐĂůĐƵůĂƌŽǀĂůŽƌĚĂƚĂdžĂĚĞĚĞĐůşŶŝŽ͕ ĠƉŽƐƐşǀĞůĚĞƚĞƌŵŝŶĂƌŽĐŽŵƉŽƌƚĂŵĞŶƚŽƉƌŽĚƵƟǀŽĚŽƉŽĕŽĞŵƋƵĂůƋƵĞƌƚĞŵƉŽĨƵƚƵƌŽ͘;ǀĂůŽƌ͗ϰ͕ϬƉŽŶƚŽƐͿ *R10201410* 10 E'E,Z/ RASCUNHO 1 2 ϯ 4 5 6 7 ϴ 9 10 11 12 ϭϯ 14 15 11 E'E,Z/ *R10201411* QUESTÃO DISCURSIVA 5 KƉůĂŶĞũĂŵĞŶƚŽĚĞŵĂŶƵƚĞŶĕĆŽĠĚĞĞdžƚƌĞŵĂŝŵƉŽƌƚąŶĐŝĂŶŽĂŵďŝĞŶƚĞŝŶĚƵƐƚƌŝĂů͘^ƵĂĐŽƌƌĞƚĂƌĞĂůŝnjĂĕĆŽ ŐĂƌĂŶƚĞĂŵŝŶŝŵŝnjĂĕĆŽĚĞƉĂƌĂĚĂƐŶĂƐĂƟǀŝĚĂĚĞƐĚĞƉƌŽĚƵĕĆŽĚĞďĞŶƐĞƐĞƌǀŝĕŽƐ͕ĐŽŶƚƌŝďƵŝƉĂƌĂĂƐĞŐƵƌĂŶĕĂ ĚŽƐƉƌŽĐĞƐƐŽƐĞƉĂƌĂĂŵĞůŚŽƌŝĂĚĂĐŽŵƉĞƟƟǀŝĚĂĚĞĚĂĞŵƉƌĞƐĂ͘ ƉĂƌƚŝƌ ĚĞƐƐĂ ĂĨŝƌŵĂĕĆŽ͕ ĞůĂďŽƌĞ Ƶŵ ƚĞdžƚŽ ĚŝƐƐĞƌƚĂƚŝǀŽ͕ ƌĞůĂĐŝŽŶĂŶĚŽ Ă ŵĂŶƵƚĞŶĕĆŽ Ğŵ ŝŶƐƚĂůĂĕƁĞƐ ŝŶĚƵƐƚƌŝĂŝƐĞƐĞƵƐŝŵƉĂĐƚŽƐĐŽŵŽƐĂƐƉĞĐƚŽƐƌĞůĂƚŝǀŽƐĂƐĞŐƵƌĂŶĕĂ͕ŵĞŝŽĂŵďŝĞŶƚĞĞƐĂƷĚĞŶŽƚƌĂďĂůŚŽ͘ ;ǀĂůŽƌ͗ϭϬ͕ϬƉŽŶƚŽƐͿ RASCUNHO 1 2 ϯ 4 5 6 7 ϴ 9 10 11 12 ϭϯ 14 15 *R10201412* 12 E'E,Z/ QUESTÃO 09 QUESTÃO 10 ^ƵƉŽŶŚĂ ƋƵĞ Ă ĚŝƐƚąŶĐŝĂ ƉĞƌĐŽƌƌŝĚĂ ƉŽƌ Ƶŵ ĐŝĐůŝƐƚĂ ĞŶŽŵŝŶĂŵͲƐĞ ĐĂƌŐĂƐŽƐĞůĞŵĞŶƚŽƐĚĞ Ƶŵ ĐŝƌĐƵŝƚŽ ƋƵĞ ƉĞĚĂůĂ ƌĞŐƵůĂƌŵĞŶƚĞ ƉŽĚĞ ƐĞƌ ŝŶĨĞƌŝĚĂ ƉĞůĂ ĞůĠƚƌŝĐŽ ƋƵĞ ƐĞ ŽƉƁĞŵ ă ƉĂƐƐĂŐĞŵ ĚĞ ĐŽƌƌĞŶƚĞ ǀĂƌŝĄǀĞůĂůĞĂƚſƌŝĂx ͕ĐŽŵĚĞŶƐŝĚĂĚĞĚĞƉƌŽďĂďŝůŝĚĂĚĞ ĞůĠƚƌŝĐĂ͘ƐƐĞŶĐŝĂůŵĞŶƚĞ͕ĚŝƐƟŶŐƵĞŵͲƐĞƚƌġƐƟƉŽƐĚĞ ŶŽƌŵĂů͕ ĐĂƌŐĂƐ͗ ƌĞƐŝƐƟǀĂƐ͕ ĐĂƉĂĐŝƟǀĂƐ Ğ ŝŶĚƵƟǀĂƐ͘ Ɛ ĐĂƌŐĂƐ (x−μ)2 1 f (x; μ, σ 2) = √ e− 2σ2 ƌĞƐŝƐƟǀĂƐĚŝƐƐŝƉĂŵĞŶĞƌŐŝĂ͕ĞŶƋƵĂŶƚŽĂƐƉƵƌĂŵĞŶƚĞ 2πσ 2 ĐĂƉĂĐŝƟǀĂƐŽƵƉƵƌĂŵĞŶƚĞŝŶĚƵƟǀĂƐƐĆŽĐŽŶƐŝĚĞƌĂĚĂƐ ĂƌŵĂnjĞŶĂĚŽƌĂƐĚĞĞŶĞƌŐŝĂ͘ ĐŽŵ μ = 25km e σ 2 = 25km2 ͘ ĚƵƌĂĕĆŽ ŵĠĚŝĂ ĚŽ ƐĞƵƚƌĞŝŶŽĠĚĞϭŚϭϱŵŝŶ͘ ŽŵďĂƐĞŶĞƐƐĞƐĚĂĚŽƐ͕ĂǀĂůŝĞĂƐĂĮƌŵĂĕƁĞƐĂďĂŝdžŽ͘ /͘ ǀĞůŽĐŝĚĂĚĞ ŵĠĚŝĂ ĚĞ ĐĂĚĂ ƚƌĞŝŶŽ Ġ ĚĞ Ϯϭ͕ϳŬŵͬŚ͘ //͘ ĚŝƐƚąŶĐŝĂŵĠĚŝĂƉĞƌĐŽƌƌŝĚĂĞŵĐĂĚĂƚƌĞŝŶŽ ĠĚĞϮϱŬŵ͘ ///͘ ĄƌĞĂŵĠĚŝĂƉĞƌĐŽƌƌŝĚĂĞŵĐĂĚĂƚƌĞŝŶŽĠĚĞ ϮϱŬŵ2. /s͘ ĚŝƐƚąŶĐŝĂƉĞƌĐŽƌƌŝĚĂĚĞĐĂĚĂƚƌĞŝŶŽ͕ĞŵƵŵ ĚĞƐǀŝŽͲƉĂĚƌĆŽ͕ĞƐƚĄĞŶƚƌĞϮϬŬŵĞϯϬŬŵ͘ V. ǀĞůŽĐŝĚĂĚĞ ŵĠĚŝĂ ĚĞ ĐĂĚĂ ƚƌĞŝŶŽ͕ Ğŵ Ƶŵ ĚĞƐǀŝŽͲƉĂĚƌĆŽ͕ĞƐƚĄĞŶƚƌĞϭϲŬŵͬŚĞϮϰŬŵͬŚ͘ ĐŽƌƌĞƚŽĂƉĞŶĂƐŽƋƵĞƐĞĂĮƌŵĂĞŵ A B C D E L2 1F L3 + 1H 12 V L1 ^eŽĐŝƌĐƵŝƚŽŵŽƐƚƌĂĚŽĂĐŝŵĂĠĂůŝŵĞŶƚĂĚŽƉŽƌƵŵĂ ĨŽŶƚĞĚĞƚĞŶƐĆŽĐŽŶơŶƵĂĚĞϭϮsĞĂƐůąŵƉĂĚĂƐƐĆŽ ĚĞϭϮsͬϲt͕ŽďƐĞƌǀĂͲƐĞƋƵĞ͕ĞŵƌĞŐŝŵĞƉĞƌŵĂŶĞŶƚĞ͕ A ĂƐ ƚƌġƐ ůąŵƉĂĚĂƐ͕ >ϭ͕ >Ϯ Ğ >ϯ͕ ĮĐĂƌĆŽ ĂƉĂŐĂĚĂƐ͕ ƉŽŝƐ ůąŵƉĂĚĂƐ ŝŶĐĂŶĚĞƐĐĞŶƚĞƐ Ɛſ ŽƉĞƌĂŵ ĐŽŵ ĐŽƌƌĞŶƚĞĂůƚĞƌŶĂĚĂ͘ /͘ /Ğ/s͘ //Ğ///͘ ///Ğs͘ //͕/sĞs͘ B ƐŽŵĞŶƚĞ >Ϯ Ğ >ϯ ĮĐĂƌĆŽ ĂĐĞƐĂƐ͕ ƉŽŝƐ Ă ĐŽƌƌĞŶƚĞ ƋƵĞƉĂƐƐĂĞŵ>ϮĠĂƐŽŵĂĚĂƐĐŽƌƌĞŶƚĞƐĞŵ>ϯĞ ŶŽŝŶĚƵƚŽƌ͘ ÁREA LIVRE D ƐŽŵĞŶƚĞ>ϮĮĐĂƌĄĂĐĞƐĂ͕ƉŽŝƐĞƐƚĄĞŵƐĠƌŝĞĐŽŵĂ ĨŽŶƚĞĚĞĂůŝŵĞŶƚĂĕĆŽ͘ C ĂƐƚƌġƐůąŵƉĂĚĂƐ͕>ϭ͕>ϮĞ>ϯ͕ĮĐĂƌĆŽĂĐĞƐĂƐ͕ƉŽŝƐ ĞƐƚĆŽůŝŐĂĚĂƐăĨŽŶƚĞĚĞĂůŝŵĞŶƚĂĕĆŽ͘ E ƐŽŵĞŶƚĞ>ϭĮĐĂƌĄĂĐĞƐĂ͕ƉŽŝƐĞƐƚĄĞŵƐĠƌŝĞĐŽŵŽ ĐĂƉĂĐŝƚŽƌ͘ ÁREA LIVRE ϭϯ E'E,Z/ *R10201413* QUESTÃO 11 K;ĞŵĂŶĚĂŝŽƋƵşŵŝĐĂĚĞKdžŝŐġŶŝŽͿĚĞƵŵĂĂŵŽƐƚƌĂĚĞĄŐƵĂĠĂƋƵĂŶƟĚĂĚĞĚĞŽdžŝŐġŶŝŽŶĞĐĞƐƐĄƌŝĂ ƉĂƌĂŽdžŝĚĂƌĂŵĂƚĠƌŝĂŽƌŐąŶŝĐĂƉŽƌĚĞĐŽŵƉŽƐŝĕĆŽĂĞƌſďŝĂ͘YƵĂŶĚŽĂĂŵŽƐƚƌĂĠŐƵĂƌĚĂĚĂƉŽƌϱĚŝĂƐĞŵƵŵĂ ƚĞŵƉĞƌĂƚƵƌĂĚĞŝŶĐƵďĂĕĆŽĚĞϮϬΣ͕ĞůĂĠƌĞĨĞƌŝĚĂĐŽŵŽKϱ͕ϮϬ͕ƋƵĞĠŶŽƌŵĂůŵĞŶƚĞƵƟůŝnjĂĚĂĐŽŵŽƵŵĚŽƐ ƉĂƌąŵĞƚƌŽƐƉĂƌĂǀĞƌŝĮĐĂĕĆŽĚĂƋƵĂůŝĚĂĚĞĚĂĄŐƵĂ͘ KƐĞŐƵŝŶƚĞƋƵĂĚƌŽĐůĂƐƐŝĮĐĂƵŵĐƵƌƐŽĚ͛ĄŐƵĂĞŵĨƵŶĕĆŽĚĂƐƵĂKϱ͕ϮϬ ůĂƐƐŝĮĐĂĕĆŽ DBO5,20 (mg/L) DƵŝƚŽůŝŵƉŽ ƚĠϭ >ŝŵƉŽ DĂŝŽƌƋƵĞϭĂƚĠϮ ZĂnjŽĄǀĞů DĂŝŽƌƋƵĞϮĂƚĠϰ ZƵŝŵ DĂŝŽƌƋƵĞϰĂƚĠϲ WĠƐƐŝŵŽ DĂŝŽƌƋƵĞϲ ŝŵĂŐĞŵĂďĂŝdžŽŵŽƐƚƌĂƵŵƚƌĞĐŚŽĚĞƵŵƌŝŽĐŽŵϱƐĞĕƁĞƐ;y͕z͕͕tĞdͿ͕ĞŵƋƵĞƐĆŽĐŽůĞƚĂĚĂƐĂŵŽƐƚƌĂƐ ĚĞĄŐƵĂƉĂƌĂĂĚĞƚĞƌŵŝŶĂĕĆŽĚĞKϱ͕ϮϬĞŵůĂďŽƌĂƚſƌŝŽ͘ Ponto de lançamento de esgoto X Ponto de lançamento de esgoto Y Z W T Q Imagem sem escala Ponto de lançamento de esgoto KƋƵĂĚƌŽĂďĂŝdžŽĂƉƌĞƐĞŶƚĂŽƐƌĞƐƵůƚĂĚŽƐ͕ĞŵĚŝĨĞƌĞŶƚĞƐƵŶŝĚĂĚĞƐ͕ĚĂƐĂŵŽƐƚƌĂƐĐŽůŚŝĚĂƐ͘ Seção DBO5,20 X Y Z W T Ϭ͕ϰŐͬŵϯ ϯϴϱϬŵŐͬŵϯ ϮϱϬϬŵŐͬŵϯ ϯϬϬϬŵŐͬŵϯ Ϭ͕ϬϭŬŐͬŵϯ ŽŶƐŝĚĞƌĂŶĚŽƋƵĞƉŽĚĞŽĐŽƌƌĞƌĂƵƚŽĚĞƉƵƌĂĕĆŽŶŽƌŝŽ͕ĞŵƋƵĂůƐĞĕĆŽĚĞůĞĂĄŐƵĂŶĆŽƉŽĚĞƐĞƌĐůĂƐƐŝĮĐĂĚĂ͕ ŶŽŵşŶŝŵŽ͕ĐŽŵŽ͞ƌĂnjŽĄǀĞů͍͟ A B C D E y͘ z͘ ͘ t͘ T. *R10201414* 14 E'E,Z/ QUESTÃO 12 QUESTÃO 13 hŵĂŵďŝĞŶƚĞƚĞƌŵŝĐĂŵĞŶƚĞĐŽŶĨŽƌƚĄǀĞůĠƵŵĂĚĂƐ ĐŽŶĚŝĕƁĞƐƋƵĞĚĞǀĞŵƐĞƌĐŽŶƐŝĚĞƌĂĚĂƐĞŵƉƌŽũĞƚŽƐ ĚĞĞĚŝĮĐĂĕƁĞƐ͘ĮŵĚĞƉƌŽũĞƚĂƌƵŵĂŵďŝĞŶƚĞŝŶƚĞƌŶŽ ĐŽŵ ƚĞŵƉĞƌĂƚƵƌĂ ĚĞ ϮϬΣ ƉĂƌĂ ƵŵĂ ƚĞŵƉĞƌĂƚƵƌĂ ĞdžƚĞƌŶĂŵĠĚŝĂĚĞϯϱΣ͕ƵŵĞŶŐĞŶŚĞŝƌŽĐŽŶƐŝĚĞƌŽƵ͕ ŶŽ ĚŝŵĞŶƐŝŽŶĂŵĞŶƚŽ͕ Ƶŵ ŇƵdžŽ ĚĞ ĐĂůŽƌ ĂƚƌĂǀĠƐ ĚĞ ƵŵĂƉĂƌĞĚĞĞdžƚĞƌŶĂĚĞϭϬϱtͬŵϸ͕ĐŽŶĨŽƌŵĞŝůƵƐƚƌĂ ĂĮŐƵƌĂĂďĂŝdžŽ͘ ŶŐĞŶŚĞŝƌŽƐĚĞƵŵĂĞŵƉƌĞƐĂŚŽůĂŶĚĞƐĂĞŶĐŽŶƚƌĂƌĂŵ ƵŵĂŵĂŶĞŝƌĂĚĞĨĂnjĞƌĐŽŵƋƵĞŽƐĞůĞǀĂĚŽƌĞƐƚĞƌƌĞƐƚƌĞƐ ƐƵďĂŵ ĂƚĠ Ž ƚŽƉŽ ĚĞ ĞĚŝİĐŝŽƐ ĐŽŵ ϭ ϬϬϬ ŵĞƚƌŽƐ ĚĞ ĂůƚƵƌĂ͕ƉŽŝƐŽƐĐĂďŽƐĚĞĂĕŽƵƐĂĚŽƐŶŽƐĞůĞǀĂĚŽƌĞƐĂƚƵĂŝƐ ƐſĐŽŶƐĞŐƵĞŵĂůĕĄͲůŽƐĂĂůƚƵƌĂƐĚĞ͕ĂƉƌŽdžŝŵĂĚĂŵĞŶƚĞ͕ ϱϬϬ ŵĞƚƌŽƐ͘ /ƐƐŽ ƐĞƌĄ ƉŽƐƐşǀĞů ĐŽŵ Ă ĐƌŝĂĕĆŽ ĚĞ Ƶŵ ŶŽǀŽĐĂďŽƐƵƉĞƌůĞǀĞĞƐƵƉĞƌĨŽƌƚĞ͕ŽƵƐĞũĂ͕ƵŵĂĞƐƉĠĐŝĞ ĚĞĐŝŶƚĂ͕ƚĞĐŝĚĂĐŽŵĮďƌĂƐĚĞĐĂƌďŽŶŽ͘ŵǀĞnjĚŽƐĮŽƐ ĚĞĂĕŽĞŶƚƌĞůĂĕĂĚŽƐƵƐĂĚŽƐŶŽƐĐĂďŽƐĚĞĂĕŽĐŽŵƵŶƐ͕ ĂĐŝŶƚĂĠĨŽƌŵĂĚĂƉŽƌƋƵĂƚƌŽĮƚĂƐĚĞĮďƌĂĚĞĐĂƌďŽŶŽ ƐĞůĂĚĂƐĞŵƉůĄƐƟĐŽƚƌĂŶƐƉĂƌĞŶƚĞ͘KƉůĄƐƟĐŽĠŶĞĐĞƐƐĄƌŝŽ ƉĂƌĂƉƌŽƚĞŐĞƌĚŽĂƚƌŝƚŽĂƐĮďƌĂƐĚĞĐĂƌďŽŶŽĞĂƵŵĞŶƚĂƌ ĂǀŝĚĂƷƟůĚŽĐŽŶũƵŶƚŽ͘ĂĚĂĮƚĂƚĞŵϰĐĞŶơŵĞƚƌŽƐĚĞ ůĂƌŐƵƌĂƉŽƌϰŵŝůşŵĞƚƌŽƐĚĞĞƐƉĞƐƐƵƌĂ͘ůĂƐƐĆŽƉĂƌĞĐŝĚĂƐ ĐŽŵ ƵŵĂ ƌĠŐƵĂ ĞƐĐŽůĂƌ ŇĞdžşǀĞů͘ ƐƐĞ ŶŽǀŽ ŵĂƚĞƌŝĂů ƐƵƉĞƌĂůŝŐĞŝƌĂŵĞŶƚĞĂƌĞƐŝƐƚġŶĐŝĂăƚĞŶƐĆŽĚŽĂĕŽ͕ŵĂƐ ƉĞƐĂƐĞƚĞǀĞnjĞƐŵĞŶŽƐƋƵĞŽĂƚƵĂůŵĞŶƚĞƵƐĂĚŽ͘ƐƐŝŵ͕ Ă ĨŽƌĕĂ ŐĂƐƚĂ ƉĂƌĂ ƐƵƐƚĞŶƚĂƌ Ž ƉĞƐŽ ĚŽ ƉƌſƉƌŝŽ ĐĂďŽ ƉĂƐƐĂĂƐĞƌĂƉůŝĐĂĚĂƉĂƌĂƐƵƐƚĞŶƚĂƌĂƉĞŶĂƐŽĞůĞǀĂĚŽƌ͕Ğ ŽĐŽŶƐƵŵŽĚĞĞŶĞƌŐŝĂĚŽƐĞůĞǀĂĚŽƌĞƐƚĂŵďĠŵĠĐĞƌĐĂ ĚĞϭϱйŵĞŶŽƌĚŽƋƵĞŽƐĂŶƚĞƌŝŽƌĞƐ͘ Tint = 20°C 105 W/m2 Text = 35°C 20 cm ŝƐƉŽŶşǀĞůĞŵ͗фŚƩƉ͗ͬͬǁǁǁ͘ŝŶŽǀĂĐĂŽƚĞĐŶŽůŽŐŝĐĂ͘ĐŽŵ͘ďƌх͘ ĐĞƐƐŽĞŵ͗ϮϳũƵů͘ϮϬϭϰ;ĂĚĂƉƚĂĚŽͿ͘ ƚĂďĞůĂĂƐĞŐƵŝƌĂƉƌĞƐĞŶƚĂŽƐǀĂůŽƌĞƐĚĂĐŽŶĚƵƟǀŝĚĂĚĞ dĞŶĚŽ Ğŵ ǀŝƐƚĂ Ă ƐŝƚƵĂĕĆŽ ĚĞƐĐƌŝƚĂ͕ ĂǀĂůŝĞ ĂƐ ƚĠƌŵŝĐĂƉĂƌĂĂůŐƵŶƐŵĂƚĞƌŝĂŝƐĚĞĐŽŶƐƚƌƵĕĆŽ͘ ĂĮƌŵĂĕƁĞƐĂƐĞŐƵŝƌ͘ ŽŶĚƵƟǀŝĚĂĚĞ /͘ K ĐĂďŽ ĚĞ ĮďƌĂ ĚĞ ĐĂƌďŽŶŽ ƐƵƉŽƌƚĂ ĞůĞǀĂĚĂƐ Material térmica ĐĂƌŐĂƐĚĞǀŝĚŽăƐƵĂĞůĞǀĂĚĂƌĞƐŝƐƚġŶĐŝĂăƚƌĂĕĆŽ͘ O (W͘m1͘<1) //͘ ĮďƌĂ ĚĞ ĐĂƌďŽŶŽ ƚŽƌŶĂ Ž ĐĂďŽ ďĞŵ ŵĂŝƐ ŽŶĐƌĞƚŽ ϭ͕ϰϬ ŇĞdžşǀĞů͕ŽƋƵĞ͕ĂůŝĂĚŽĂƐƵĂƌĞƐŝƐƚġŶĐŝĂăƚƌĂĕĆŽ͕ WĞĚƌĂŶĂƚƵƌĂů ϭ͕ϬϬ ƉƌŽƉŽƌĐŝŽŶĂ Ă ĞƐƐĞ ŵĂƚĞƌŝĂů ƵŵĂ ǀĂŶƚĂŐĞŵ ĞŵƌĞůĂĕĆŽĂŽƐĐĂďŽƐĚĞĂĕŽĐŽŶǀĞŶĐŝŽŶĂŝƐ͘ WůĂĐĂĚĞĂŐůŽŵĞƌĂĚŽĚĞĮďƌĂƐĚĞŵĂĚĞŝƌĂ Ϭ͕ϮϬ ///͘ ƌĞůĂĕĆŽ ƌĞƐŝƐƚġŶĐŝĂͬƉĞƐŽ ĚŽ ĐĂďŽ ĚĞ ĮďƌĂ ĚĞ WůĂĐĂĚĞŵĂĚĞŝƌĂƉƌĞŶƐĂĚĂ Ϭ͕ϭϬ ĐĂƌďŽŶŽ ĂƐƐĞŐƵƌĂ ǀĂŶƚĂŐĞŵ ĚĞƐƐĞ ŵĂƚĞƌŝĂů Ğŵ WůĂĐĂĐŽŵĞƐƉƵŵĂƌşŐŝĚĂĚĞƉŽůŝƵƌĞƚĂŶŽ Ϭ͕Ϭϯ ƌĞůĂĕĆŽĂŽƐĐĂďŽƐĚĞĂĕŽ͕ƉŽŝƐĂĞĐŽŶŽŵŝĂĚŽƉĞƐŽ ^^K/KZ^/>/ZEKZD^dE/^͘EZϭϱϮϮϬͲϭ͗ ƉƌſƉƌŝŽĚŽĐĂďŽƉŽĚĞƐĞƌƵƐĂĚĂƉĂƌĂƐƵƐƚĞŶƚĂƌŽ ĞƐĞŵƉĞŶŚŽƚĠƌŵŝĐŽĚĞĞĚŝĨŝĐĂĕƁĞƐͲWĂƌƚĞϭ͗ĞĨŝŶŝĕƁĞƐ͕ ĞůĞǀĂĚŽƌĞƌĞĚƵnjŝƌŽĐŽŶƐƵŵŽĚĞĞŶĞƌŐŝĂ͘ ƐşŵďŽůŽƐĞƵŶŝĚĂĚĞƐ͘ZŝŽĚĞ:ĂŶĞŝƌŽ͕ϮϬϬϱ͕Ɖ͘ϴ;ĂĚĂƉƚĂĚŽͿ͘ /s͘ ƉĞƐĂƌ ĚĂ ƌĞƐŝƐƚġŶĐŝĂ ă ƚĞŶƐĆŽ ƐĞƌ ĂƉĞŶĂƐ Įŵ ĚĞ ƐĞ ŽďƚĞƌ Ă ƚĞŵƉĞƌĂƚƵƌĂ ŝŶƚĞƌŶĂ ĚĞƐĞũĂĚĂ͕ ůŝŐĞŝƌĂŵĞŶƚĞ ŵĂŝŽƌ ŶŽ ĐĂďŽ ĚĞ ĮďƌĂ ĚĞ ƋƵĂů ĚĞǀĞ ƐĞƌ Ž ŵĂƚĞƌŝĂů ƐĞůĞĐŝŽŶĂĚŽ͕ ĞŶƚƌĞ ŽƐ ĐĂƌďŽŶŽ͕ĂǀĂŶƚĂŐĞŵƉƌŝŶĐŝƉĂůĚĞƐĞƵƵƐŽĠĂ ĂƉƌĞƐĞŶƚĂĚŽƐŶĂƚĂďĞůĂĂĐŝŵĂ͕ƉĂƌĂĐŽŵƉŽƐŝĕĆŽĚĂ ĂůƚĂƌĞůĂĕĆŽƌĞƐŝƐƚġŶĐŝĂͬƉĞƐŽ͘ ƉĂƌĞĚĞĞdžƚĞƌŶĂ͍ ĐŽƌƌĞƚŽĂƉĞŶĂƐŽƋƵĞƐĞĂĮƌŵĂĞŵ A ŽŶĐƌĞƚŽ͘ A /͘ B WĞĚƌĂŶĂƚƵƌĂů͘ B //͘ C WůĂĐĂĚĞŵĂĚĞŝƌĂƉƌĞŶƐĂĚĂ͘ C /Ğ///͘ D WůĂĐĂĐŽŵĞƐƉƵŵĂƌşŐŝĚĂĚĞƉŽůŝƵƌĞƚĂŶŽ͘ D //Ğ/s͘ E WůĂĐĂĚĞĂŐůŽŵĞƌĂĚŽĚĞĮďƌĂƐĚĞŵĂĚĞŝƌĂ͘ E ///Ğ/s͘ 15 E'E,Z/ *R10201415* QUESTÃO 14 1 KƚƌĂŶƐƉŽƌƚĞĚĞƵŵŇƵŝĚŽĞŶƚƌĞĚŽŝƐƉŽŶƚŽƐŶŽŝŶƚĞƌŝŽƌ ĚĞƵŵƚƵЎƌƌĞƐŝŵƵůƚĂŶĞĂŵĞŶƚĞ͕ĐŽŵƉĞƌĚĂĚĞ ĞŶĞƌŐŝĂ͕ĚĞǀŝĚŽĂŽĂƚƌŝƚŽĚŽŇƵŝĚŽĐŽŵĂƉĂƌĞĚĞĞĂŽ ĞƐĐŽĂŵĞŶƚŽƚƵƌďƵůĞŶƚŽ͘WŽƌƚĂŶƚŽ͕ƋƵĂŶƚŽŵĂŝŽƌĨŽƌ ĂƌƵŐŽƐŝĚĂĚĞĚĂƉĂƌĞĚĞĚĂƚƵďƵůĂĕĆŽŽƵŵĂŝƐǀŝƐĐŽƐŽ ĨŽƌŽŇƵŝĚŽ͕ŵĂŝŽƌƐĞƌĄĂƉĞƌĚĂĚĞĞŶĞƌŐŝĂ͘ĨŽƌŵĂ ĚĞĚĞƚĞƌŵŝŶĂĕĆŽĚŽĨĂƚŽƌĚĞĂƚƌŝƚŽĨŽŝĞƐƚĂďĞůĞĐŝĚĂ Ğŵϭϵϯϵ͕ƉŽƌŝŶƚĞƌŵĠĚŝŽĚĂĞƋƵĂĕĆŽĚĞŽůĞďƌŽŽŬͲ tŚŝƚĞ͕ĂƉƌĞƐĞŶƚĂĚĂĂƐĞŐƵŝƌ͘ 1 2, 51 k √ = −2 log10 + √ 3, 7D Re f f ĞŵƋƵĞ 2 3 4 5 6 f ĠŽĨĂƚŽƌĚĞĂƚƌŝƚŽĚĞĂƌĐLJͲtĞŝƐďĂĐŚ;ĂĚŝŵĞŶƐŝŽŶĂůͿ͖ 7 10 kĠĂƌƵŐŽƐŝĚĂĚĞĞƋƵŝǀĂůĞŶƚĞĚĂƉĂƌĞĚĞĚŽƚƵďŽ;ŵͿ͖ D ĠŽĚŝąŵĞƚƌŽŝŶƚĞƌŶŽĚŽƚƵďŽ;ŵͿ͖ 8 ReĠŽŶƷŵĞƌŽĚĞZĞLJŶŽůĚƐ;ĂĚŝŵĞŶƐŝŽŶĂůͿ͘ ƌĞƐŽůƵĕĆŽ ĚĞƐƐĂ ĞƋƵĂĕĆŽ ƌĞƋƵĞƌ Ƶŵ ƉƌŽĐĞƐƐŽ 9 ŝƚĞƌĂƟǀŽ͕ƉŽŝƐĂĨƵŶĕĆŽĠŝŵƉůşĐŝƚĂĞŵƌĞůĂĕĆŽĂŽĨĂƚŽƌ ĚĞĂƚƌŝƚŽ;ƉƌĞƐĞŶƚĞŶŽƐĚŽŝƐŵĞŵďƌŽƐĚĂĞƋƵĂĕĆŽͿ͘ Žŵ ďĂƐĞ ŶĞƐƐĂƐ ŝŶĨŽƌŵĂĕƁĞƐ͕ ǀĞƌŝĮĐĂͲƐĞ ƋƵĞ Ă ŵϭϵϯϵ͕ĂƌĞƐŽůƵĕĆŽĚĞĞƋƵĂĕƁĞƐƉŽƌƉƌŽĐĞĚŝŵĞŶƚŽƐ ƐŽůƵĕĆŽĚĂĞƋƵĂĕĆŽĠŽďƟĚĂƉĞůĂƐĞŐƵŝŶƚĞĂƐƐŽĐŝĂĕĆŽ ŝƚĞƌĂƟǀŽƐ ĚĞŵĂŶĚĂǀĂ ĞdžĐĞƐƐŽ ĚĞ ƚĞŵƉŽ͕ ŵĂƐ͕ ĚĂƐĞƚĂƉĂƐĚŽĂůŐŽƌŝƚŵŽĐŽŵŽŇƵdžŽŐƌĂŵĂ ĐŽŵ Ž ĚĞƐĞŶǀŽůǀŝŵĞŶƚŽ ĚŽƐ ĐŽŶŚĞĐŝŵĞŶƚŽƐ ĚĞ ĐŽŵƉƵƚĂĕĆŽ͕ĞƐƐĞƉƌŽďůĞŵĂĨŽŝƐŽůƵĐŝŽŶĂĚŽ͘ 1 2 ϯ 4 5 6 7 ϴ 9 10 ƐĞƚĂƉĂƐĚĞƵŵĂůŐŽƌŝƚŵŽƋƵĞƐŽůƵĐŝŽŶĂĂĞƋƵĂĕĆŽ͕ A B , ' : / F ƐĞŵ ŽƌĚĞŶĂĕĆŽ ůſŐŝĐĂ͕ ĂƐƐŝŵ ĐŽŵŽ ƐĞƵ ŇƵdžŽŐƌĂŵĂ ƐĆŽĂƉƌĞƐĞŶƚĂĚŽƐĂƐĞŐƵŝƌ͘ ͿD сϭ B Ϳf0 сϬ͕Ϭϯ 1 2 ϯ 4 5 6 7 ϴ 9 10 , ' B : F / 1 2 ϯ 4 5 6 7 ϴ 9 10 ' , B : / F 1 2 ϯ 4 5 6 7 ϴ 9 10 B , ' : F / 1 2 ϯ 4 5 6 7 ϴ 9 10 B ' , : / F Ϳ/ŶşĐŝŽ Ϳ ĄůĐƵůŽ ĚĞ f1 ĂƚƌĂǀĠƐ ĚĂ ĞƋƵĂĕĆŽ ĚĞ ŽůĞďƌŽŽŬͲ tŚŝƚĞ C Ϳͮf0 f1ͮфϬ͕ϬϬϬϬϭ &ͿdĠƌŵŝŶŽ 'ͿRe сϭϬϬϬϬ D ,Ϳk сϬ͕ϬϬϬϭ /Ϳf0 с f1 :ͿsŝƐƵĂůŝnjĂĕĆŽĚŽƌĞƐƵůƚĂĚŽ *R10201416* E 16 E'E,Z/ QUESTÃO 15 QUESTÃO 16 KďƐĞƌǀĞ Ž ƉƌŽŐƌĂŵĂ ĐůĂƐƐŝĮĐĂĚŽƌ ;͞ƐŽƌƚ͟Ϳ͕ Ğŵ hŵĂ ŝŶĚƷƐƚƌŝĂ ĚĞ ďůŽĐŽƐ ĐĞƌąŵŝĐŽƐ ƉƌĞƚĞŶĚĞ ƵƟůŝnjĂƌ ƋƵĞŝŵĂ ĚĞ ďŝŽŵĂƐƐĂ ƌĞƐƵůƚĂŶƚĞ ĚĞ ƌĞƐşĚƵŽƐ ƉƐĞƵĚŽĐſĚŝŐŽ͕ĂƉƌĞƐĞŶƚĂĚŽĂďĂŝdžŽ͘ ĚĞ ŵĂĚĞŝƌĂ͕ ƉĂƌĂ ŐĞƌĂƌ ĞŶĞƌŐŝĂ ƚĠƌŵŝĐĂ ƉĂƌĂ ƐĞƵƐ ĨŽƌŶŽƐ͕ ƋƵĞ͕ ĂƚƵĂůŵĞŶƚĞ͕ ƵƟůŝnjĂŵ ŐĄƐ ŶĂƚƵƌĂů͘ dĂů ŝŶŝĐŝĂƟǀĂƉŽĚĞƌĄƌĞĚƵnjŝƌŽĐŽŶƐƵŵŽĚĞĐŽŵďƵƐơǀĞů͕ ƉŽƌĠŵƐĞƌĄŶĞĐĞƐƐĄƌŝŽƵŵŝŶǀĞƐƟŵĞŶƚŽŶŽǀĂůŽƌĚĞ ϮϬйĚŽĐŽŶƐƵŵŽͬĂŶŽĂƚƵĂůĚĞĐŽŵďƵƐơǀĞů͕ǀŝƐĂŶĚŽ ă ĂĚĂƉƚĂĕĆŽ ĚŽƐ ĨŽƌŶŽƐ͘ ůĠŵ ĚŝƐƐŽ͕ Ž ƚƌĂŶƐƉŽƌƚĞ ĂŶƵĂůĚŽƐƌĞƐşĚƵŽƐĚĂĨŽŶƚĞŐĞƌĂĚŽƌĂĂƚĠĂŝŶĚƷƐƚƌŝĂ ŝƌĄĐƵƐƚĂƌϱйĚŽĐŽŶƐƵŵŽͬĂŶŽĂƚƵĂůĚĞĐŽŵďƵƐơǀĞů͘ ƐƟŵĂͲƐĞ ƋƵĞ ĞƐƐĂ ĂůƚĞƌĂĕĆŽ ƉƌŽŵŽǀĂ ƵŵĂ ĞĐŽŶŽŵŝĂ͕ ŶŽ ĐŽŶƐƵŵŽͬĂŶŽ ĂƚƵĂů ĚĞ ĐŽŵďƵƐơǀĞů͕ ĚĞϭϬйĂŽĂŶŽ͘ ƉĂƌƟƌĚĂƐŝƚƵĂĕĆŽĚĞƐĐƌŝƚĂ͕ĂǀĂůŝĞĂƐĂĮƌŵĂĕƁĞƐĂ ƐĞŐƵŝƌ͘ /͘ ƉĂƌƟƌĚŽƋƵŝŶƚŽĂŶŽ͕ĂŝŶĚƷƐƚƌŝĂĐŽŵĞĕĂƌŝĂ ĂƚĞƌďĞŶĞİĐŝŽƐĞĐŽŶƀŵŝĐŽƐ͘ //͘ EĂ ƉƌŽƉŽƐƚĂ ĂƉƌĞƐĞŶƚĂĚĂ͕ Ă ŝŶĚƷƐƚƌŝĂ ƐƵďƐƟƚƵŝƌŝĂŽĐŽŵďƵƐơǀĞůĂƚƵĂůƉŽƌƵŵĂĨŽŶƚĞ ĚĞĞŶĞƌŐŝĂĐŽŵŵĞŶŽƌƉƌŽĚƵĕĆŽĞĞŵŝƐƐĆŽĚĞ ƉĂƌơĐƵůĂƐĚĞǀŝĚŽĂŽƉƌŽĐĞƐƐŽĚĞĐŽŵďƵƐƚĆŽ ;ƉĂƌƟĐƵůĂĚŽƐͿ͘ ///͘ EĂ ƉƌŽƉŽƐƚĂ ĂƉƌĞƐĞŶƚĂĚĂ͕ Ă ŝŶĚƷƐƚƌŝĂ ƐƵďƐƟƚƵŝƌŝĂŽĐŽŵďƵƐơǀĞůĂƚƵĂůƉŽƌƵŵĂĨŽŶƚĞ ƌĞŶŽǀĄǀĞůĚĞĞŶĞƌŐŝĂ͘ /s͘ KǀĂůŽƌĚŽŝŶǀĞƐƟŵĞŶƚŽƐƵƉĞƌĂŽƐďĞŶĞİĐŝŽƐ ƉƌŽŵŽǀŝĚŽƐĐŽŵĂĞĐŽŶŽŵŝĂĚĞĐŽŵďƵƐơǀĞů ĚƵƌĂŶƚĞŽƐϱƉƌŝŵĞŝƌŽƐĂŶŽƐ͘ ƐƐĞƉƌŽŐƌĂŵĂĐůĂƐƐŝĮĐĂ͕ĞŵŽƌĚĞŵ A ĚĞĐƌĞƐĐĞŶƚĞ͕ŶŽƚĂƐĚĞĂůƵŶŽƐĞŶŽŵĞƐĚĞĂůƵŶŽƐ ĚĞŵĞƐŵĂŶŽƚĂ͘ B ĂůĨĂďĠƟĐĂĐƌĞƐĐĞŶƚĞ͕ŶŽŵĞƐĞŶŽƚĂƐĚĞĂůƵŶŽƐĚĞ ŵĞƐŵŽŶŽŵĞ͘ C ĚĞĐƌĞƐĐĞŶƚĞ͕ŶŽƚĂƐĚĞĂůƵŶŽƐ͘ D ĂůĨĂďĠƟĐĂĐƌĞƐĐĞŶƚĞ͕ŶŽŵĞƐĚĞĂůƵŶŽƐ͘ E ĐƌĞƐĐĞŶƚĞ͕ŶŽƚĂƐĚĞĂůƵŶŽƐ͘ ÁREA LIVRE ĐŽƌƌĞƚŽĂƉĞŶĂƐŽƋƵĞƐĞĂĮƌŵĂĞŵ A B C D E //͘ /s͘ /Ğ//͘ /Ğ///͘ ///Ğ/s͘ ÁREA LIVRE 17 E'E,Z/ *R10201417* QUESTÃO 17 džŝƐƚĞŵĐŽŶƚƌŽǀĠƌƐŝĂƐĂĐĞƌĐĂĚĂŵĂŐŶŝƚƵĚĞĚŽƐĨĂƚŽƌĞƐƋƵĞŝŶŇƵĞŶĐŝĂŵŽǀŽƚŽĚŽĞůĞŝƚŽƌ͘ŵďŽƌĂ͕ĂƚƵĂůŵĞŶƚĞ͕ ĂƐƉĞƐƋƵŝƐĂƐĞůĞŝƚŽƌĂŝƐƉŽƐƐĂŵƐĞƌĚŝǀƵůŐĂĚĂƐƉƌſdžŝŵŽĂŽĚŝĂĚĂĞůĞŝĕĆŽ͕ĚƵƌĂŶƚĞŵƵŝƚŽƚĞŵƉŽĞƐƐĂĚŝǀƵůŐĂĕĆŽ ŶĆŽĞƌĂƉĞƌŵŝƟĚĂƐŽďĂĂůĞŐĂĕĆŽĚĞƋƵĞĂƐŵĞƐŵĂƐŝŶŇƵĞŶĐŝĂǀĂŵĂĚĞĐŝƐĆŽĚĞƵŵƟƉŽƉĂƌƟĐƵůĂƌĚĞĞůĞŝƚŽƌ͕ ŽƋƵĂůĚĞƐĞũĂǀĂ͞ǀŽƚĂƌŶŽĐĂŶĚŝĚĂƚŽŐĂŶŚĂĚŽƌ͟ĞƚĞŶĚŝĂĂǀŽƚĂƌŶŽƐĐĂŶĚŝĚĂƚŽƐĐƵũĂƐƵƉŽƐƚĂƉƌŽďĂďŝůŝĚĂĚĞ ĚĞǀŝƚſƌŝĂĠŵĂŝŽƌ͕ŝŶĚĞƉĞŶĚĞŶƚĞŵĞŶƚĞĚŽĐŽŶƚĞƷĚŽĚĂƉƌŽƉŽƐƚĂƉŽůşƟĐĂĂƉƌĞƐĞŶƚĂĚĂ͘ Gráfico II 55 50 45 Porcentagem de Votos 45 35 25 15 Candidato A 40 0 5 Porcentagem de Votos 55 60 60 Gráfico I Candidato B Candidato A Candidato B ŽŶƐŝĚĞƌĂŶĚŽƋƵĞŽĂŶĚŝĚĂƚŽĞƐƚĞũĂŝŶƚĞƌĞƐƐĂĚŽŶŽǀŽƚŽĚŽƟƉŽĚĞĞůĞŝƚŽƌŵĞŶĐŝŽŶĂĚŽŶŽƚĞdžƚŽĞĞƐƚĞũĂ ĞdžĂŵŝŶĂŶĚŽŽƐĚŽŝƐŐƌĄĮĐŽƐĂĐŝŵĂƉĂƌĂĂƉƌĞƐĞŶƚĂƌ͕ĞŵƐĞƵŵĂƚĞƌŝĂůĚĞƉƌŽƉĂŐĂŶĚĂ͕ŽƐƌĞƐƵůƚĂĚŽƐĚĞƵŵĂ ƉĞƐƋƵŝƐĂĞůĞŝƚŽƌĂů͕ĂǀĂůŝĞĂƐĂĮƌŵĂĕƁĞƐƋƵĞƐĞƐĞŐƵĞŵ͘ /͘ KƐĚŽŝƐŐƌĄĮĐŽƐĂƉƌĞƐĞŶƚĂŵƌĞƐƵůƚĂĚŽƐĚŝĨĞƌĞŶƚĞƐ͘ //͘ ŵƌĞůĂĕĆŽĂŽƐŽďũĞƟǀŽƐĚŽĂŶĚŝĚĂƚŽ͕ŽŐƌĄĮĐŽ/ĠŵĂŝƐĂĚĞƋƵĂĚŽƋƵĞŽ//͘ ///͘ ĚĞĐŝƐĆŽĂƐĞƌƚŽŵĂĚĂĂƉƌĞƐĞŶƚĂŝŵƉůŝĐĂĕƁĞƐĚĞŶĂƚƵƌĞnjĂĠƟĐĂ͕ĂůĠŵĚĂƐĚĞŶĂƚƵƌĞnjĂƚĠĐŶŝĐĂ͘ ĐŽƌƌĞƚŽŽƋƵĞƐĞĂĮƌŵĂĞŵ A /͕ĂƉĞŶĂƐ͘ B ///͕ĂƉĞŶĂƐ͘ C /Ğ//͕ĂƉĞŶĂƐ͘ D //Ğ///͕ĂƉĞŶĂƐ͘ E /͕//Ğ///͘ *R10201418* ϭϴ E'E,Z/ QUESTÃO 18 EŽƌĂƐŝů͕ĠĐŽŵĞƌĐŝĂůŝnjĂĚĂƵŵĂĐĂĚĞŝƌĂĚĞƌŽĚĂƐĚĞĂůƵŵşŶŝŽĐŽŵƉĞƐŽĂƉƌŽdžŝŵĂĚŽĚĞϭϮŬŐ͕ƋƵĞƌĞƉƌĞƐĞŶƚĂ ĐĞƌĐĂ ĚĂ ŵĞƚĂĚĞ ĚŽ ƉĞƐŽ ĚĞ Ƶŵ ŵŽĚĞůŽ ĐŽŶǀĞŶĐŝŽŶĂů͘ ŽŶƐƚƌƵşĚĂ Ğŵ ĞƐƚƌƵƚƵƌĂ ƚƵďƵůĂƌ ĚĞ ƵŵĂ ůŝŐĂ ĚĞ ĂůƵŵşŶŝŽĂĞƌŽŶĄƵƟĐŽ͕ĞƐƐĂĐĂĚĞŝƌĂĚĞƌŽĚĂƐƉŽƐƐƵŝĂůƚĂƌĞƐŝƐƚġŶĐŝĂŵĞĐąŶŝĐĂ͕ĂůĠŵĚĞƚĞƌĐƵƐƚŽƌĞĚƵnjŝĚŽ. ŝƐƉŽŶşǀĞůĞŵ͗фŚƩƉ͗ͬͬǁǁǁ͘ŚŽƐƉŝƚĂůĂƌ͘ĐŽŵх͘ĐĞƐƐŽĞŵ͗ϮϲũƵů͘ϮϬϭϰ;ĂĚĂƉƚĂĚŽͿ͘ KĂůƵŵşŶŝŽĂĞƌŽŶĄƵƟĐŽƉŽƐƐƵŝƵŵĂĐŽŵďŝŶĂĕĆŽƷŶŝĐĂĚĞƉƌŽƉƌŝĞĚĂĚĞƐƋƵĞŽƚŽƌŶĂƵŵŵĂƚĞƌŝĂůĚĞĐŽŶƐƚƌƵĕĆŽ ǀĞƌƐĄƟů͕ĂůƚĂŵĞŶƚĞƵƟůŝnjĄǀĞůĞĂƚƌĂƟǀŽ͘ƐƐĂƐĐĂƌĂĐƚĞƌşƐƟĐĂƐƐĆŽĚĞǀŝĚĂƐĂƋƵĂŝƐƉƌŽƉƌŝĞĚĂĚĞƐ͍ A B C D E ůƚĂƌĞƐŝƐƚġŶĐŝĂŵĞĐąŶŝĐĂĞďĂŝdžĂĚĞŶƐŝĚĂĚĞ͘ ĂŝdžĂƉůĂƐƟĐŝĚĂĚĞĞĂůƚŽƉŽŶƚŽĚĞĨƵƐĆŽ͘ ůƚĂĚƵƌĞnjĂĂƋƵĞŶƚĞĞďĂŝdžĂĚƵƟůŝĚĂĚĞ͘ ĂŝdžĂƉůĂƐƟĐŝĚĂĚĞĞĂůƚĂƐŽůĚĂďŝůŝĚĂĚĞ͘ ůƚĂĚƵƌĞnjĂĞĂůƚĂĚĞŶƐŝĚĂĚĞ. ÁREA LIVRE 19 E'E,Z/ *R10201419* QUESTÃO 19 WŝŐŵĞŶƚŽƐĞĐŽƌĂŶƚĞƐƐĆŽƐƵďƐƚąŶĐŝĂƐƋƵĞ͕ĂŽƐĞƌĞŵĂƉůŝĐĂĚĂƐĂƵŵŵĂƚĞƌŝĂů͕ĐŽŶĨĞƌĞŵͲůŚĞĐŽƌ͘ƉƌŝŶĐŝƉĂů ĚŝĨĞƌĞŶĕĂĞŶƚƌĞƉŝŐŵĞŶƚŽƐĞĐŽƌĂŶƚĞƐĠƋƵĞ͕ƋƵĂŶĚŽĂƉůŝĐĂĚŽƐ͕ŽƐƉŝŐŵĞŶƚŽƐƐĆŽŝŶƐŽůƷǀĞŝƐĞŽƐĐŽƌĂŶƚĞƐ ƐĆŽƐŽůƷǀĞŝƐ͘KƵƚƌŽĚŝĨĞƌĞŶĐŝĂůĞŶƚƌĞŽƐĚŽŝƐƉƌŽĚƵƚŽƐĚŝnjƌĞƐƉĞŝƚŽăĐŽďĞƌƚƵƌĂ͗ƋƵĂŶĚŽƐĞƵƐĂŽƉŝŐŵĞŶƚŽ ŶƵŵĂƟŶƚĂ͕ĞůĞƉƌŽŵŽǀĞƐŝŵƵůƚĂŶĞĂŵĞŶƚĞĂĐŽďĞƌƚƵƌĂ͕ĂŽƉĂĐŝĚĂĚĞ͕ŽƟŶŐŝŵĞŶƚŽĞĂĐŽƌ͖ŽĐŽƌĂŶƚĞƐſ ƉƌŽŵŽǀĞŽƟŶŐŝŵĞŶƚŽ͕ƐĞŵƉƌŽƉŽƌĐŝŽŶĂƌĐŽďĞƌƚƵƌĂ͘͘͘͘KƐƉŝŐŵĞŶƚŽƐƉŽĚĞŵƐĞƌŽƌŐąŶŝĐŽƐŽƵŝŶŽƌŐąŶŝĐŽƐ͕ ƐŝŶƚĠƟĐŽƐŽƵŶĂƚƵƌĂŝƐ͕ĞĂƉƌĞƐĞŶƚĂŵĚŝĨĞƌĞŶĕĂƐĞŶƚƌĞƐŝĐŽŵƌĞůĂĕĆŽăŽƉĂĐŝĚĂĚĞ͕ƌĞƐŝƐƚġŶĐŝĂĂŝŶƚĞŵƉĠƌŝĞƐ͕ ĨĂĐŝůŝĚĂĚĞĚĞĚŝƐƉĞƌƐĆŽĞŵŽĂŐĞŵ. DE͕D͘Corantes e Pigmentos͘ŝƐƉŽŶşǀĞůĞŵ͗фŚƩƉ͗ͬͬĐƌƋϰ͘ŽƌŐ͘ďƌх͘ĐĞƐƐŽĞŵ͗ϭϱũƵů͘ϮϬϭϰ;ĂĚĂƉƚĂĚŽͿ͘ ůŝŵŝŶĂĚŽ ĚĂƐƟŶƚĂƐĚĞĐŽƌĂƟǀĂƐ͕ŽĐŚƵŵďŽĂŝŶĚĂƌĞƐŝƐƚĞŶĂƐůŝŶŚĂƐ ĂƵƚŽŵŽƟǀĂƐĞŝŶĚƵƐƚƌŝĂŝƐ͕ŵĂƐƚĞŶĚĞ ĂƐĞƌďĂŶŝĚŽƚĂŵďĠŵĚĞƐƐĞƐƐĞŐŵĞŶƚŽƐ͘͞ƐƟŶƚĂƐƉŽĚĞŵƐĞƌĨŽƌŵƵůĂĚĂƐƐĞŵĂŶĞĐĞƐƐŝĚĂĚĞĚĞƐĞƵƐĂƌ ĐĄĚŵŝŽ͕ĐŚƵŵƵĐƌŽŵŽ͕ƉŽŝƐŽƐƉŝŐŵĞŶƚŽƐŽƌŐąŶŝĐŽƐŽƐƐƵďƐƟƚƵĞŵ͕͟ĚŝƐƐĞWĞƌĞƐ͘͘͘͘KƐƉŝŐŵĞŶƚŽƐĚĞ ſdžŝĚŽĚĞĨĞƌƌŽƐĞĂƉƌĞƐĞŶƚĂŵĐŽŵŽĂůƚĞƌŶĂƟǀĂƉĂƌĂƐƵďƐƟƚƵŝƌŽĐƌŽŵĂƚŽĚĞĐŚƵŵďŽĞŵƟŶƚĂƐ͘͞KſdžŝĚŽĚĞ ĨĞƌƌŽĂƉƌĞƐĞŶƚĂĞůĞǀĂĚĂƌĞƐŝƐƚġŶĐŝĂăƐŝŶƚĞŵƉĠƌŝĞƐĞăůƵnj͕ĐŽŵĂůƚĂĞƐƚĂďŝůŝĚĂĚĞƚĠƌŵŝĐĂ͕ƐĞŶĚŽŝŶĞƌƚĞĂŽƐ ƐĞƌĞƐǀŝǀŽƐ͕͟ĞdžƉůŝĐĂĂƚĠĐŶŝĐĂĞŵĂƉůŝĐĂĕĆŽĚĞƉŝŐŵĞŶƚŽƐ͘ &/ZE<^͕D͘dŝŶƚĂƐĞƌĞǀĞƐƟŵĞŶƚŽƐ͗ŽƉĂĞĞůĞŝĕƁĞƐĞƐƋƵĞŶƚĂŵŽĐůŝŵĂĚŽƐŶĞŐſĐŝŽƐĐŽŵƉŝŐŵĞŶƚŽƐƐƵƐƚĞŶƚĄǀĞŝƐ;ĂĚĂƉƚĂĚŽͿ͘ In͗YƵşŵŝĐĂĞĞƌŝǀĂĚŽƐ͕Ŷ͘ϱϰϯ͕ϮϬϭϰ͕Ɖ͘ϯϲͲϰϬ͘ ŽŶƐŝĚĞƌĂŶĚŽŽĞdžƉŽƐƚŽ͕ĂǀĂůŝĞĂƐĂĮƌŵĂĕƁĞƐĂƐĞŐƵŝƌ͘ /͘ KŝŶĐŽŶǀĞŶŝĞŶƚĞĚŽƐƉŝŐŵĞŶƚŽƐăďĂƐĞĚĞĐƌŽŵĂƚŽĚĞĐŚƵŵďŽĠŽĨĂƚŽĚĞĞůĞƐƐĞƌĞŵƚſdžŝĐŽƐĂŽƐ ƐĞƌĞƐǀŝǀŽƐ͘ //͘ ŝſdžŝĚŽĚĞƟƚąŶŝŽ͕ĐƌŽŵĂƚŽĚĞnjŝŶĐŽĞĨĞƌƌŽĐŝĂŶĞƚŽĚĞĨĞƌƌŽ///ƐĆŽĞdžĞŵƉůŽƐĚĞƉŝŐŵĞŶƚŽƐŽƌŐąŶŝĐŽƐ ƵƟůŝnjĂĚŽƐĞŵƟŶƚĂƐ͘ ///͘ KĐŚƵŵďŽŶĂƉŽĞŝƌĂĐŽŶƐƟƚƵŝĂƉƌŝŶĐŝƉĂůƌŽƚĂĚĞĞdžƉŽƐŝĕĆŽ͘ƐƐŝŵ͕ƌĞĨŽƌŵĂĚĞĐĂƐĂƐĂŶƟŐĂƐĠƵŵ ƌŝƐĐŽ͕ĂŵĞŶŽƐƋƵĞƐĞƚŽŵĞĐƵŝĚĂĚŽƉĂƌĂĐŽŶƚĞƌĂƉŽĞŝƌĂĚĂƐĐĂŵĂĚĂƐĚĞƟŶƚĂǀĞůŚĂ͘ /s͘ KƉŝŐŵĞŶƚŽŵĂŶƚĠŵĂƚƌĂŶƐƉĂƌġŶĐŝĂĚŽŽďũĞƚŽƟŶŐŝĚŽ͖ũĄŽĐŽƌĂŶƚĞĚĄĐŽƌĞƟƌĂĂƚƌĂŶƐƉĂƌġŶĐŝĂ͘ ĐŽƌƌĞƚŽĂƉĞŶĂƐŽƋƵĞƐĞĂĮƌŵĂĞŵ A B C D E /͘ //͘ /Ğ///͘ //Ğ/s͘ ///Ğ/s͘ ÁREA LIVRE *R10201420* 20 E'E,Z/ QUESTÃO 20 EŽ ŐƌĄĮĐŽ ĂďĂŝdžŽ͕ ĞƐƚĄ ƌĞƉƌĞƐĞŶƚĂĚĂ Ă ĚŝƐƚƌŝďƵŝĕĆŽ ĚĂ ƚĞŵƉĞƌĂƚƵƌĂ ĂŽ ůŽŶŐŽ ĚŽ ĐŽŵƉƌŝŵĞŶƚŽ ĚĞ ƵŵĂ ďĂƌƌĂ ĚĞĐŽďƌĞĞdžƉŽƐƚĂĂƵŵĂĨŽŶƚĞĚĞĐĂůŽƌ͘ƚĞŵƉĞƌĂƚƵƌĂĠŵŽŶŝƚŽƌĂĚĂƉŽƌƋƵĂƚƌŽƚĞƌŵƀŵĞƚƌŽƐ;dϭ͕dϮ͕dϯĞdϰͿ ĮdžĂĚŽƐŶĂďĂƌƌĂ͕ĐŽŵŽŽďũĞƟǀŽĚĞƐĞĂǀĂůŝĂƌĂĐŽŶĚƵĕĆŽĚĞĐĂůŽƌŶŽŵĂƚĞƌŝĂů͘ 120 Temperatura (°C) 100 80 60 40 20 0 0 5 10 T1 15 20 25 Tempo (minutos) T2 T3 30 35 40 T4 ŽŵďĂƐĞŶŽƐĚĂĚŽƐƋƵĞƉŽĚĞŵƐĞƌŽďƐĞƌǀĂĚŽƐŶŽŐƌĄĮĐŽ͕ĂǀĂůŝĞĂƐĂĮƌŵĂĕƁĞƐĂƐĞŐƵŝƌ͘ /͘ KƐƚĞƌŵƀŵĞƚƌŽƐdϯĞdϰĞƐƚĂǀĂŵƉƌſdžŝŵŽƐĚĂĨŽŶƚĞĚĞĐĂůŽƌ͘ //͘ ƚĞŵƉĞƌĂƚƵƌĂŵĄdžŝŵĂĚŽĞdžƉĞƌŝŵĞŶƚŽĨŽŝĚĞ͕ĂƉƌŽdžŝŵĂĚĂŵĞŶƚĞ͕ϭϭϬΣ͘ ///͘ KƐƚĞƌŵƀŵĞƚƌŽƐdϭĞdϮƌĞŐŝƐƚƌĂƌĂŵƚĞŵƉĞƌĂƚƵƌĂŝŶƐƚĄǀĞůĚƵƌĂŶƚĞƚŽĚŽŽĞdžƉĞƌŝŵĞŶƚŽ͘ /s͘ ƚĞŵƉĞƌĂƚƵƌĂŵĂŝƐĂůƚĂƌĞŐŝƐƚƌĂĚĂƉŽƌƋƵĂůƋƵĞƌƵŵĚŽƐƚĞƌŵƀŵĞƚƌŽƐĨŽŝĂƟŶŐŝĚĂĂƉƌŽdžŝŵĂĚĂŵĞŶƚĞ ĂŽƐϮϲŵŝŶƵƚŽƐ͘ V. dŽĚŽƐŽƐƚĞƌŵƀŵĞƚƌŽƐƌĞŐŝƐƚƌĂƌĂŵǀĂƌŝĂĕƁĞƐƐŝŐŝŶĮĐĂƟǀĂƐĚĞƚĞŵƉĞƌĂƚƵƌĂĚƵƌĂŶƚĞŽƐĚĞnjƉƌŝŵĞŝƌŽƐ ŵŝŶƵƚŽƐĚŽĞdžƉĞƌŝŵĞŶƚŽ͘ ĐŽƌƌĞƚŽĂƉĞŶĂƐŽƋƵĞƐĞĂĮƌŵĂĞŵ A B C D E /͘ /Ğ//͘ //Ğ/s͘ ///Ğs͘ ///͕/sĞs͘ ÁREA LIVRE 21 E'E,Z/ *R10201421* QUESTÃO 21 Ɛ ŝŶƐƚĂůĂĕƁĞƐ ĚĞ ƵŵĂ ĞŵƉƌĞƐĂ ĚĞ ŐƌĂŶĚĞ ƉŽƌƚĞ ƐĆŽ ĚĞŶƚƌŽ ĚĞ Ƶŵ ŐĂůƉĆŽ ĐƵũĂ ĞƐƚƌƵƚƵƌĂ ĚĞ ƐƵƐƚĞŶƚĂĕĆŽ ĚŽ ƚĞůŚĂĚŽ Ġ ĐŽŶƐƚƌƵşĚĂ ƉŽƌ ƚƌĞůŝĕĂ͘ ĞƋƵŝƉĞ ĚĞ ŵĂŶƵƚĞŶĕĆŽ ĚĞƐƐĂ ĞŵƉƌĞƐĂ ǀĞƌŝĮĐŽƵ Ă ŶĞĐĞƐƐŝĚĂĚĞ ĚĞ ƐƵďƐƟƚƵŝĕĆŽ ĚĞ ĂůŐƵŵĂƐ ďĂƌƌĂƐ ĚĞƐƐĂ ƚƌĞůŝĕĂ͕ ĂƐ ƋƵĂŝƐ ĂƉƌĞƐĞŶƚĂǀĂŵ ŽdžŝĚĂĕĆŽ ĞdžĐĞƐƐŝǀĂ Ğ ǀŝĚĂ ƷƟů ŵƵŝƚŽ ŝŶĨĞƌŝŽƌăƉƌŽũĞƚĂĚĂƉĞůŽĨĂďƌŝĐĂŶƚĞ͘sĞƌŝĮĐĂŶĚŽŽƐĐĄůĐƵůŽƐĚŽƉƌŽũĞƚŽ͕ŽƐĞŶŐĞŶŚĞŝƌŽƐĐŽŶƐƚĂƚĂƌĂŵƋƵĞĂƐ ďĂƌƌĂƐĐŽŵŵĂŝŽƌĐĂƌƌĞŐĂŵĞŶƚŽƟŶŚĂŵƐĞĕƁĞƐĚĞϬ͕ϬϬϬϴŵ2ĞĞƌĂŵƚƌĂĐŝŽŶĂĚĂƐĐŽŵƵŵĂĨŽƌĕĂĚĞϭϲϬŬE͘ KŐƌĄĮĐŽĂďĂŝdžŽŵŽƐƚƌĂĂƌĞůĂĕĆŽƚĞŶƐĆŽdžĚĞĨŽƌŵĂĕĆŽĚĞƐƐĞŵĂƚĞƌŝĂů͘ Ponto de ruptura Tensão (MPa) 400 350 300 250 200 150 100 50 0,01 0,02 0,03 0,04 0,05 0,06 0,07 0,08 0,09 Deformação (mm/mm) ŽŵďĂƐĞŶĞƐƐĂƐŝŶĨŽƌŵĂĕƁĞƐ͕ĂǀĂůŝĞĂƐĂĮƌŵĂĕƁĞƐĂƐĞŐƵŝƌ. /͘ KŵĂƚĞƌŝĂůƵƟůŝnjĂĚŽŶĂƐďĂƌƌĂƐĚĂƚƌĞůŝĕĂĠƵŵŵĂƚĞƌŝĂůĨƌĄŐŝů͘ //͘ ƐďĂƌƌĂƐƐŽĨƌĞƌĆŽƵŵĂĚĞĨŽƌŵĂĕĆŽƉůĄƐƟĐĂƋƵĂŶĚŽĂƉůŝĐĂĚĂƵŵĂĨŽƌĕĂĚĞƚƌĂĕĆŽĚĞϭϲϬŬE͘ ///͘ ƚĞŶƐĆŽŶŽƌŵĂůĂƉůŝĐĂĚĂŶĂďĂƌƌĂƐĞƌĄŝŐƵĂůĂϮϬϬDWĂ͘ /s͘ EĞƐƐĂ ƐŝƚƵĂĕĆŽ͕ Ă ĚĞĨŽƌŵĂĕĆŽ ĚĂ ƉĞĕĂ ; ε Ϳ ĞƐƚĄ ĂƐƐŽĐŝĂĚĂ ă ƚĞŶƐĆŽ ; σ Ϳ͕ ĚĞ ĂĐŽƌĚŽ ĐŽŵ Ă ůĞŝ ĚĞ ,ŽŽŬĞ͗ σ = E.ε ͕ĞŵƋƵĞ E ĠŽŵſĚƵůŽĚĞĞůĂƐƟĐŝĚĂĚĞ͘ ĐŽƌƌĞƚŽĂƉĞŶĂƐŽƋƵĞƐĞĂĮƌŵĂĞŵ A B C D E /͘ /s͘ /Ğ//͘ //Ğ///͘ ///Ğ/s͘ ÁREA LIVRE *R10201422* 22 E'E,Z/ QUESTÃO 22 QUESTÃO 23 ĂŶĄůŝƐĞ ĚĞ Ƶŵ ƐŝƐƚĞŵĂ İƐŝĐŽ ŐĞƌĂůŵĞŶƚĞ Ġ ĨĞŝƚĂ͕ ŶŽĚŽŵşŶŝŽĚŽƚĞŵƉŽ͕ƉŽƌĞƋƵĂĕƁĞƐĚŝĨĞƌĞŶĐŝĂŝƐŽƵ͕ ŶŽ ĚŽŵşŶŝŽ ĚĂ ĨƌĞƋƵġŶĐŝĂ ĐŽŵƉůĞdžĂ͕ ƉŽƌ ŵĞŝŽ ĚĂ ƚƌĂŶƐĨŽƌŵĂĚĂĚĞ>ĂƉůĂĐĞ͘hŵƐŝƐƚĞŵĂĠĐŽŶƐŝĚĞƌĂĚŽ ĞƐƚĄǀĞů ƐĞ͕ Ğ ƐŽŵĞŶƚĞ ƐĞ͕ ƚŽĚŽƐ ŽƐ ƉŽůŽƐ ĚĂ ƐƵĂ ĨƵŶĕĆŽ ĚĞ ƚƌĂŶƐĨĞƌġŶĐŝĂ ĞƐƟǀĞƌĞŵ ĐŽŶƟĚŽƐ ŶŽ ƐĞŵŝƉůĂŶŽĞƐƋƵĞƌĚŽĂďĞƌƚŽ͖ĐĂƐŽĐŽŶƚƌĄƌŝŽ͕ŽƐŝƐƚĞŵĂ Ġ ĐŽŶƐŝĚĞƌĂĚŽ ŝŶƐƚĄǀĞů͘ EĞƐƐĂ ĂŶĄůŝƐĞ͕ ŽƐ ƉŽůŽƐ ĚĂ ĨƵŶĕĆŽĚĞƚƌĂŶƐĨĞƌġŶĐŝĂƐĆŽŽƐǀĂůŽƌĞƐĚĂǀĂƌŝĄǀĞů s ͕ ƋƵĞĨĂnjĞŵĐŽŵƋƵĞĂĨƵŶĕĆŽƚĞŶĚĂĂŽŝŶĮŶŝƚŽ͕ƐĞŶĚŽ ƋƵĞŽƐĞŵŝƉůĂŶŽĞƐƋƵĞƌĚŽĂďĞƌƚŽĠĐŽŶƐƟƚƵşĚŽƉŽƌ ŶƷŵĞƌŽƐƌĞĂŝƐŶĞŐĂƟǀŽƐŽƵŶƷŵĞƌŽƐĐŽŵƉůĞdžŽƐĐƵũĂ ƉĂƌƚĞ ƌĞĂů Ġ ŶĞŐĂƟǀĂ͘ ŵ ĚĂĚĂ ŵŽĚĞůĂŐĞŵ͕ ĚŽŝƐ ƐŝƐƚĞŵĂƐƌĞƐƵůƚĂƌĂŵĞŵĚƵĂƐĨƵŶĕƁĞƐĚĞƚƌĂŶƐĨĞƌġŶĐŝĂ ŶŽĚŽŵşŶŝŽĚĂƚƌĂŶƐĨŽƌŵĂĚĂĚĞ>ĂƉůĂĐĞ͕ĚĂĚĂƐƉŽƌ͗ 2 F 1(s) = 2 s + 6s + 8 KƐ ůŝŵŝƚĞƐ ĚĞ ƌĞƐŝƐƚġŶĐŝĂ Ă ƚƌĂĕĆŽ ĚŽ ĂĕŽ ĚĞ ĐŝŶĐŽ ĨĂďƌŝĐĂŶƚĞƐ ĚŝĨĞƌĞŶƚĞƐ ĨŽƌĂŵ ĞŶƐĂŝĂĚŽƐ͘ KƐ ƌĞƐƵůƚĂĚŽƐĚĂĂŶĄůŝƐĞĞƐƚĂơƐƟĐĂƐĆŽĂƉƌĞƐĞŶƚĂĚŽƐŶŽ ƋƵĂĚƌŽĂƐĞŐƵŝƌ͘ F 2(s) = s2 1 + 2s + 2 EĞƐƐĂ ƐŝƚƵĂĕĆŽ͕ ĂƐ ĨƵŶĕƁĞƐ F 1(s) ƌĞƉƌĞƐĞŶƚĂŵ͕ƌĞƐƉĞĐƟǀĂŵĞŶƚĞ͕ e F 2(s) Fabricante F1 F2 &ϯ F4 F5 Limite de resistência a tração médio (MPa) ϰϮϬĂ ϰϬϬĂď ϯϴϬď ϯϲϬďĐ ϯϰϬĐ EŽ ƋƵĂĚƌŽ͕ ĂƐ ŵĠĚŝĂƐ ƐĞŐƵŝĚĂƐ ƉĞůĂ ŵĞƐŵĂ ůĞƚƌĂ ŶĆŽ ĚŝĨĞƌĞŵ ƐŝŐŶŝĮĐĂƟǀĂŵĞŶƚĞ ĞŶƚƌĞ Ɛŝ ʹ dĞƐƚĞ ĚĞ ĐŽŵƉĂƌĂĕƁĞƐ ŵƷůƟƉůĂƐ ĚĞ dƵŬĞLJ ;ŶşǀĞů ĚĞ ƐŝŐŶŝĮĐąŶĐŝĂсϱйͿ͘ ŽŶƐŝĚĞƌĂŶĚŽƋƵĞŽƉƌĞĕŽĚŽŵĂƚĞƌŝĂůĠĚŝƌĞƚĂŵĞŶƚĞ ƉƌŽƉŽƌĐŝŽŶĂůĂŽůŝŵŝƚĞŵĠĚŝŽĚĞƌĞƐŝƐƚġŶĐŝĂĂƚƌĂĕĆŽ͕ ĂǀĂůŝĞĂƐƐĞŐƵŝŶƚĞƐŽƉĕƁĞƐĚĞĐŽŵƉƌĂƐĂƐĞƌĞŵĨĞŝƚĂƐ ƉĞůĂƐĞĕĆŽĚĞƐƵƉƌŝŵĞŶƚŽƐĚĞƵŵĂŝŶĚƷƐƚƌŝĂ͘ /͘ &ϮƉƌĞĨĞƌĞŶĐŝĂůŵĞŶƚĞƋƵĞ&ϯ //͘ &ϯƉƌĞĨĞƌĞŶĐŝĂůŵĞŶƚĞƋƵĞ&ϰ ///͘ &ϭƉƌĞĨĞƌĞŶĐŝĂůŵĞŶƚĞƋƵĞ&ϯ /s͘ &ϭƉƌĞĨĞƌĞŶĐŝĂůŵĞŶƚĞƋƵĞ&ϱ V. &ϯƉƌĞĨĞƌĞŶĐŝĂůŵĞŶƚĞƋƵĞ&ϱ A ƵŵƐŝƐƚĞŵĂĚĞĐŽŶƚƌŽůĞĞƐƚĄǀĞů͕ƉŽŝƐƐĞƵƐƉŽůŽƐƐĆŽ s1 = –2 e s2 = –4͕ĞƵŵƐŝƐƚĞŵĂĚĞĐŽŶƚƌŽůĞĞƐƚĄǀĞů͕ ^ĆŽŽƉĕƁĞƐĚĞĐŽŵƉƌĂĐŽƌƌĞƚĂƐĚŽƉŽŶƚŽĚĞǀŝƐƚĂĚĂ ƉŽŝƐƐĞƵƐƉŽůŽƐƐĆŽs1 = –1 + j e s2 = –1 – j. ƌĞůĂĕĆŽĐƵƐƚŽͲďĞŶĞİĐŝŽĂƉĞŶĂƐĂƐĞdžƉůŝĐŝƚĂĚĂƐĞŵ B ƵŵƐŝƐƚĞŵĂĚĞĐŽŶƚƌŽůĞĞƐƚĄǀĞů͕ƉŽŝƐƐĞƵƐƉŽůŽƐƐĆŽ A /Ğ//͘ s1 = –2 e s2= –4͕ĞƵŵƐŝƐƚĞŵĂĚĞĐŽŶƚƌŽůĞŝŶƐƚĄǀĞů͕ B /͕///Ğs͘ ƉŽŝƐƐĞƵƐƉŽůŽƐƐĆŽs1 = 2 + j e s2 = 2 – j. C //͕/sĞs͘ C ƵŵƐŝƐƚĞŵĂĚĞĐŽŶƚƌŽůĞĞƐƚĄǀĞů͕ƉŽŝƐƐĞƵƐƉŽůŽƐƐĆŽ D ///͕/sĞs͘ s1= –2 e s2 = –2͕ĞƵŵƐŝƐƚĞŵĂĚĞĐŽŶƚƌŽůĞĞƐƚĄǀĞů͕ E /͕//͕///Ğ/s͘ ƉŽŝƐƐĞƵƐƉŽůŽƐƐĆŽs1 = –1 + j2 e s2 = –1 – j2. D ƵŵƐŝƐƚĞŵĂĚĞĐŽŶƚƌŽůĞŝŶƐƚĄǀĞů͕ƉŽŝƐƐĞƵƐƉŽůŽƐƐĆŽ ÁREA LIVRE s1 = –8 e s2 = –6͕ĞƵŵƐŝƐƚĞŵĂĚĞĐŽŶƚƌŽůĞŝŶƐƚĄǀĞů͕ ƉŽŝƐƐĞƵƐƉŽůŽƐƐĆŽs1 = 1 + j e s2 = 1 – j. E ƵŵƐŝƐƚĞŵĂĚĞĐŽŶƚƌŽůĞĞƐƚĄǀĞů͕ƉŽŝƐƐĞƵƐƉŽůŽƐƐĆŽ s1= –6 e s2 = –8͕ĞƵŵƐŝƐƚĞŵĂĚĞĐŽŶƚƌŽůĞĞƐƚĄǀĞů͕ ƉŽŝƐƐĞƵƐƉŽůŽƐƐĆŽs1 = –1 + j e s2 = –1 – j. Ϯϯ E'E,Z/ *R10201423* QUESTÃO 24 ƵƌĞnjĂ Ġ ƵŵĂ ƉƌŽƉƌŝĞĚĂĚĞ ŝŶƚƌşŶƐĞĐĂ ĚŽ ŵĂƚĞƌŝĂů Ğ ƉŽĚĞ ƐĞƌ ĂǀĂůŝĂĚĂ ƉŽƌ ŵĞŝŽ ĚĞ ǀĄƌŝŽƐ ŵĠƚŽĚŽƐ͕ ĞŶƚƌĞ ŽƐ ƋƵĂŝƐ Ž ĚĂ ĚƵƌĞnjĂ sŝĐŬĞƌƐ ;,sͿ͘ EĞƐƐĞ ŵĠƚŽĚŽ͕ ƵƟůŝnjĂͲƐĞ Ƶŵ ƉĞŶĞƚƌĂĚŽƌ ƉŝƌĂŵŝĚĂů ĚĞ ďĂƐĞ ƋƵĂĚƌĂĚĂĚĞĚŝĂŵĂŶƚĞ͕ƋƵĞĠĐŽŵƉƌŝŵŝĚĂĐŽŵƵŵĂĨŽƌĕĂ&ĐŽŶƚƌĂĂƐƵƉĞƌİĐŝĞĚŽŵĂƚĞƌŝĂůƐŽďĂŶĄůŝƐĞ͘ KŵĠƚŽĚŽďĂƐĞŝĂͲƐĞŶŽƉƌŝŶĐşƉŝŽĚĞƋƵĞĂƐŝŵƉƌĞƐƐƁĞƐƉƌŽǀŽĐĂĚĂƐƉĞůŽƉĞŶĞƚƌĂĚŽƌŶĂĂŵŽƐƚƌĂƉŽƐƐƵĞŵ ƐŝŵŝůĂƌŝĚĂĚĞŐĞŽŵĠƚƌŝĐĂ͕ŝŶĚĞƉĞŶĚĞŶƚĞŵĞŶƚĞĚĂĐĂƌŐĂ;ĨŽƌĕĂͿĂƉůŝĐĂĚĂ͕ĞĂƉƌŽĨƵŶĚŝĚĂĚĞĚĞƉĞŶĞƚƌĂĕĆŽ Ġ ĨƵŶĕĆŽ ĚĂ ĚƵƌĞnjĂ ĚŽ ŵĂƚĞƌŝĂů ĂǀĂůŝĂĚŽ͘ ĮŐƵƌĂ ĂďĂŝdžŽ ŝůƵƐƚƌĂ Ă ŝŵƉƌĞƐƐĆŽ ơƉŝĐĂ ŽďƟĚĂ ŶĂ ĂŵŽƐƚƌĂ ƵƟůŝnjĂŶĚŽͲƐĞĞƐƐĞŵĠƚŽĚŽ͘ Ângulo de 136° entre as faces opostas da pirâmide Penetrador Amostra Visita da impressão deixada sobre a amostra d1 d2 EĂĮŐƵƌĂ͕ d1 e d2 ƐĆŽĂƐĚŝĂŐŽŶĂŝƐĚĂŝŵƉƌĞƐƐĆŽĚĞŝdžĂĚĂŶĂĂŵŽƐƚƌĂ͘ĞƐƐĂĨŽƌŵĂ͕ĂĚƵƌĞnjĂsŝĐŬĞƌƐ;,sͿĠ ĐĂůĐƵůĂĚĂƉĞůĂĞƋƵĂĕĆŽ͗ F HV ≈ 1, 8544 2 d ĞŵƋƵĞ d= d1 + d2 2 EĞƐƐĂƐŝƚƵĂĕĆŽ͕ƐĞĂŝŶƚĞŶƐŝĚĂĚĞĚĂĨŽƌĕĂ;F ͿĂƉůŝĐĂĚĂĂŽƉĞŶĞƚƌĂĚŽƌĐŽŶƚƌĂĂƐƵƉĞƌİĐŝĞĚŽĐŽƌƉŽƐŽďĂŶĄůŝƐĞĨŽƌ A ĚƵƉůŝĐĂĚĂ͕ŽǀĂůŽƌĚĂŝŵƉƌĞƐƐĆŽ;d ͿƉƌŽǀŽĐĂĚĂƉĞůŽƉĞŶĞƚƌĂĚŽƌĚŽďƌĂƌĄ͘ B ƋƵĂĚƌƵƉůŝĐĂĚĂ͕ŽǀĂůŽƌĚĂŝŵƉƌĞƐƐĆŽ;d ͿƉƌŽǀŽĐĂĚĂƉĞůŽƉĞŶĞƚƌĂĚŽƌĚŽďƌĂƌĄ͘ C ĂƵŵĞŶƚĂĚĂ͕ŽǀĂůŽƌĚĂŝŵƉƌĞƐƐĆŽ;d ͿƉƌŽǀŽĐĂĚĂƉĞůŽƉĞŶĞƚƌĂĚŽƌƐĞƌĄŵĂŶƟĚŽ͕ƉŽŝƐĂĚƵƌĞnjĂĚŽŵĂƚĞƌŝĂů ĠƵŵĂƉƌŽƉƌŝĞĚĂĚĞŝŶƚƌşŶƐĞĐĂ͘ D ĚŽďƌĂĚĂ͕ŽǀĂůŽƌĚĂŝŵƉƌĞƐƐĆŽ;d ͿƉƌŽǀŽĐĂĚĂƉĞůŽƉĞŶĞƚƌĂĚŽƌƐĞƌĄĂŵĞƚĂĚĞĚŽǀĂůŽƌĂŶƚĞƌŝŽƌ͘ E ƋƵĂĚƌƵƉůŝĐĂĚĂ͕ŽǀĂůŽƌĚĂŝŵƉƌĞƐƐĆŽ;d ͿƉƌŽǀŽĐĂĚĂƉĞůŽƉĞŶĞƚƌĂĚŽƌƐĞƌĄƵŵƋƵĂƌƚŽĚŽǀĂůŽƌĂŶƚĞƌŝŽƌ͘ *R10201424* 24 E'E,Z/ QUESTÃO 25 WĂƌĂ Ž ƉƌŽũĞƚŽ ĚĞ ƵŵĂ ĞƐƚƌƵƚƵƌĂ͕ Ƶŵ ƉƌŽũĞƟƐƚĂ ƉŽĚĞ ĐŽŶƐŝĚĞƌĂƌ ĂůŐƵŵĂƐ ƐŝƚƵĂĕƁĞƐ ĚĞ ĐĂƌƌĞŐĂŵĞŶƚŽ Ğ ƐƵƉŽƌƚĞƉĂƌĂƵŵĂďĂƌƌĂĚĞĐŽŵƉƌŝŵĞŶƚŽ>͕ĐŽŵŽŵŽƐƚƌĂŵĂƐƐŝƚƵĂĕƁĞƐϭ͕ϮĞϯ͘ L 3 y 2P y y P(x)=p x 2L 3 P x L x L Situação 1 Situação 2 Situação 3 ďĂƌƌĂ>ƉŽƐƐƵŝƐĞĕĆŽƌĞƚĂŶŐƵůĂƌ͕ĚĞĚŝŵĞŶƐƁĞƐďĞŚ͕ĐŽŵŚхď͘ƐƐĂďĂƌƌĂƉŽĚĞƐĞƌƉŽƐŝĐŝŽŶĂĚĂĐŽŶĨŽƌŵĞ ĂƐƐŝƚƵĂĕƁĞƐϰĞϱ͕ŝůƵƐƚƌĂĚĂƐĂƐĞŐƵŝƌ͘ y b 2 b 2 h 2 h 2 h 2 h Z b 2 b 2 b h 2 Z h b Situação 4 Situação 5 dĞŶĚŽĞŵǀŝƐƚĂŽĞdžƉŽƐƚŽ͕ĂŵĞůŚŽƌĐŽŵďŝŶĂĕĆŽĚĞƐŝƚƵĂĕƁĞƐĚĞĐĂƌƌĞŐĂŵĞŶƚŽ͕ƐƵƉŽƌƚĞĞƉŽƐŝĕĆŽĚĂďĂƌƌĂĚĞ ƐĞĕĆŽƌĞƚĂŶŐƵůĂƌƉĂƌĂƵŵĂƐŝƚƵĂĕĆŽĚĞŵĞŶŽƌƚĞŶƐĆŽĚĞŇĞdžĆŽĠŽďƟĚĂĐŽŵĂĐŽŵďŝŶĂĕĆŽĞŶƚƌĞĂƐƐŝƚƵĂĕƁĞƐ A B C D E 1 e 4. 2 e 4. 2 e 5. ϯĞϰ͘ ϯĞϱ͘ 25 E'E,Z/ *R10201425* QUESTÃO 26 ĚŝƌĞƚŽƌŝĂ ĚĞ ƵŵĂ ĐŽŶƐƚƌƵƚŽƌĂ ĚĞĐŝĚŝƵ ƋƵĞ ĚĞǀĞƌŝĂŵ ƐĞƌ ƐƵďƐƚŝƚƵşĚŽƐ ĚĞƚĞƌŵŝŶĂĚŽƐ ĞƋƵŝƉĂŵĞŶƚŽƐ͘ WĂƌĂĐŽŵƉĂƌĂƌĂǀŝĚĂĞĐŽŶƀŵŝĐĂĚŽƐĞƋƵŝƉĂŵĞŶƚŽƐĞƚŽŵĂƌĞƐƐĂĚĞĐŝƐĆŽ͕ĚĞǀĞƐĞƌƌĞĂůŝnjĂĚĂƵŵĂĂŶĄůŝƐĞ ĮŶĂŶĐĞŝƌĂƚŽŵĂŶĚŽĐŽŵŽďĂƐĞŽĐĄůĐƵůŽĚŽsĂůŽƌWƌĞƐĞŶƚĞ>şƋƵŝĚŽ;sW>Ϳ͗ƋƵĂŶƚŽŵĞŶŽƌĨŽƌŽsW>͕ŵĞŶŽƌĠŽ ůŝŵŝƚĞĚĞǀŝĚĂĞĐŽŶƀŵŝĐĂ͘EŽĐĄůĐƵůŽĚŽsW>͕ĐŽŶƐŝĚĞƌĂͲƐĞŽŝŶǀĞƐƟŵĞŶƚŽ͕ĂƌĞĐƵƉĞƌĂĕĆŽƉŽƌŵĞŝŽĚĂǀĞŶĚĂ ĚŽĞƋƵŝƉĂŵĞŶƚŽ͕ŽƐĐƵƐƚŽƐŽƉĞƌĂĐŝŽŶĂŝƐ͕ĂƌĞĐĞŝƚĂŐĞƌĂĚĂĞĂƚĂdžĂĚĞũƵƌŽƐĂŶƵĂů͕ĚĞŵŽĚŽƋƵĞ͗ sW>сŝŶǀĞƐƟŵĞŶƚŽнƌĞĐƵƉĞƌĂĕĆŽͬ;ϭнũƵƌŽƐͿͲĐƵƐƚŽŽƉĞƌĂĐŝŽŶĂůͬ;ϭнũƵƌŽƐͿнƌĞĐĞŝƚĂͬ;ϭнũƵƌŽƐͿ͘ KƐĚĂĚŽƐŽďƟĚŽƐƐŽďƌĞŽƐĞƋƵŝƉĂŵĞŶƚŽƐĞƐƚĆŽůŝƐƚĂĚŽƐŶŽƋƵĂĚƌŽĂƐĞŐƵŝƌ͘ Ano Valor do equipamento y z Custos operacionais y z Receitas geradas y z 0 400 400 400 0 0 0 0 0 0 1 ϯϬϬ ϯϱϬ ϯϳϱ 150 175 125 200 200 200 ŽŶƐŝĚĞƌĂŶĚŽŽǀĂůŽƌƉƌĞƐĞŶƚĞĚĞĐĂĚĂĞƋƵŝƉĂŵĞŶƚŽăƚĂdžĂĚĞũƵƌŽƐĂŶƵĂůĚĞϭϬй͕ĐŽŶĐůƵŝͲƐĞƋƵĞ A B C D E ĂƉĞŶĂƐĂĐŽŵƉƌĂĚŽĞƋƵŝƉĂŵĞŶƚŽyĠŝŶǀŝĄǀĞů͘ ĂƉĞŶĂƐĂĐŽŵƉƌĂĚŽƐĞƋƵŝƉĂŵĞŶƚŽƐyĞĠŝŶǀŝĄǀĞů͘ ĂĐŽŵƉƌĂĚŽƐĞƋƵŝƉĂŵĞŶƚŽƐy͕zĞĠŝŶǀŝĄǀĞů͘ ĂĐŽŵƉƌĂĚŽĞƋƵŝƉĂŵĞŶƚŽĠǀŝĄǀĞů͕ŵĂƐŶĆŽĂĚŽƐĞƋƵŝƉĂŵĞŶƚŽƐyĞz͘ ĂĐŽŵƉƌĂĚŽĞƋƵŝƉĂŵĞŶƚŽyĠǀŝĄǀĞů͕ŵĂƐŶĆŽĂĚŽƐĞƋƵŝƉĂŵĞŶƚŽƐzĞ͘ QUESTÃO 27 ĞƐĐŽďĞƌƚĂ ŶĂ &ƌĂŶĕĂ͕ ŚĄ ŵĂŝƐ ĚĞ Ƶŵ ƐĠĐƵůŽ͕ ƉĞůŽƐ ŝƌŵĆŽƐ WŝĞƌƌĞ Ğ :ĂĐƋƵĞƐ ƵƌƌŝĞ͕ Ă ƉŝĞnjŽĞůĞƚƌŝĐŝĚĂĚĞ ƉŽƐƐŝďŝůŝƚĂĂŐĞƌĂĕĆŽĚĞĞŶĞƌŐŝĂĞůĠƚƌŝĐĂůŝŵƉĂĞŝƐĞŶƚĂĚĞƌĞƐşĚƵŽƐĂƚƌĂǀĠƐĚĂĚĞĨŽƌŵĂĕĆŽŵĞĐąŶŝĐĂĂƉůŝĐĂĚĂ ĞŵĂůŐƵŶƐŵĂƚĞƌŝĂŝƐĐƌŝƐƚĂůŝŶŽƐ͘ƐƐĂƐĚĞĨŽƌŵĂĕƁĞƐƉŽĚĞŵƐĞƌ͕ƉŽƌĞdžĞŵƉůŽ͕ŽŵŽǀŝŵĞŶƚŽĚĞĐĂƌƌŽƐĞĚĞ ƉĞƐƐŽĂƐŶĂƐƌƵĂƐ͕ĞŵshoppingsĞĞŵĚĂŶĐĞƚĞƌŝĂƐ͘ hŵĚŽƐŝŵƉĞĚŝƟǀŽƐƉĂƌĂŐĞƌĂĕĆŽĚĞĞŶĞƌŐŝĂĞůĠƚƌŝĐĂĞŵůĂƌŐĂĞƐĐĂůĂĠŽĐƵƐƚŽĚĞƉƌŽĚƵĕĆŽĚŽƐĐƌŝƐƚĂŝƐ ;^ŝK2͕ĂdŝKϯ͕WďƌdžTi;ϭͲdžͿKϯ͕WďƌKϯ͕ŶKͿĞ͕ƉƌŝŶĐŝƉĂůŵĞŶƚĞ͕ĂďĂŝdžĂĐŽŶǀĞƌƐĆŽĚĞĞŶĞƌŐŝĂ͘ EĞƐƐĞ ĐŽŶƚĞdžƚŽ͕ Ƶŵ ĚŽƐ ƉĂƌąŵĞƚƌŽƐ ŵĂŝƐ ŝŵƉŽƌƚĂŶƚĞƐ ŶŽƐ ŵĂƚĞƌŝĂŝƐ ƉŝĞnjŽĞůĠƚƌŝĐŽƐ Ġ Ž ĐŽĞĮĐŝĞŶƚĞ ĚĞ ĂĐŽƉůĂŵĞŶƚŽĞůĞƚƌŽŵĞĐąŶŝĐŽK2͗ K2 = Energia elétrica convertida pelo cristal piezoelétrico Energia mecânica aplicada ao cristal piezoelétrico ŽƐŵĂƚĞƌŝĂŝƐůŝƐƚĂĚŽƐ͕ƋƵĂůĚĞůĞƐĂƉƌĞƐĞŶƚĂƵŵĨĂƚŽƌĚĞĂĐŽƉůĂŵĞŶƚŽĞůĞƚƌŽŵĞĐąŶŝĐŽŝŵƉŽƐƐşǀĞů͍ A K Si O 2 = 0, 10 B K Zn O = 0, 35 C KBaT iO2 = 0, 49 D KP bZrx T i(1−x) O3 = 0, 72 E KP bZrO3 = 1, 00 *R10201426* 26 E'E,Z/ QUESTÃO 28 hŵŽďũĞƚŽWŵŽǀĞͲƐĞĞŵƵŵĂƚƌĂũĞƚſƌŝĂĐŝƌĐƵůĂƌ͕ĐŽŵŽŝŶĚŝĐĂĚŽŶĂĮŐƵƌĂĂƐĞŐƵŝƌ͕ĐŽŵǀĞůŽĐŝĚĂĚĞĂŶŐƵůĂƌ w . ĐŽŵƉŽŶĞŶƚĞŚŽƌŝnjŽŶƚĂůĚĞƐƐĞŵŽǀŝŵĞŶƚŽ;Sx ͕ĞŵŵĞƚƌŽƐͿ͕ĚĞƐĐƌŝƚĂŶŽŐƌĄĮĐŽ͕ĠƵŵĂĨƵŶĕĆŽĐŽƐƐĞŶŽŝĚĂů ĚŽƚĞŵƉŽ;ĞŵŵŝůŝƐƐĞŐƵŶĚŽƐͿ͘ Componente horizontal do movimento y 2 1,5 w 1 P O Sx x Sx (m) 0,5 0 0,5 1 1,5 2 0 20 40 60 80 100 120 140 160 180 200 Tempo (ms) EĂƐŝƚƵĂĕĆŽĚĞƐĐƌŝƚĂ͕ ĂǀĞůŽĐŝĚĂĚĞĂŶŐƵůĂƌw ĠĚĞ 40π ƌĂĚͬƐ͘ ĂǀĞůŽĐŝĚĂĚĞŶĂƚƌĂũĞƚſƌŝĂĚŽŵŽǀŝŵĞŶƚŽĠĚĞ 20π ŵͬƐ͘ ĂǀĞůŽĐŝĚĂĚĞĂŶŐƵůĂƌĠŵĄdžŝŵĂĞŵŵſĚƵůŽŶŽƐŝŶƐƚĂŶƚĞƐϬ͕ϱϬ͕ϭϬϬ͕ϭϱϬ͕ϮϬϬ͕͕͘͘͘ĞŵŵŝůŝƐƐĞŐƵŶĚŽƐ͘ ĂĐŽŵƉŽŶĞŶƚĞǀĞƌƚŝĐĂůĚŽŵŽǀŝŵĞŶƚŽĚŽŽďũĞƚŽWĞŵĨƵŶĕĆŽĚŽƚĞŵƉŽ͕ Sy(t) ͕Ġ Sy(t) = 2cos(wt) ͕ ĞŵŵĞƚƌŽƐ͘ E ĂǀĞůŽĐŝĚĂĚĞŝŶƐƚĂŶƚąŶĞĂĚŽŽďũĞƚŽWŶŽĞŝdžŽx͕ vx (t) ͕Ġ vx (t) = −40πsen(20πt) ͕ĞŵŵĞƚƌŽƐƉŽƌƐĞŐƵŶĚŽ͘ A B C D QUESTÃO 29 ŝŶŽǀĂĕĆŽĂďĞƌƚĂĠƵŵƉƌŽĐĞƐƐŽĚŝŶąŵŝĐŽƋƵĞĞŶǀŽůǀĞĞŶƚƌĂĚĂĞƐĂşĚĂĚĞĐŽŶŚĞĐŝŵĞŶƚŽĚĂĞŵƉƌĞƐĂƉĂƌĂ ĂĐĞůĞƌĂƌĂŝŶŽǀĂĕĆŽŝŶƚĞƌŶĂĞĞdžƉĂŶĚŝƌŽŵĞƌĐĂĚŽƉĂƌĂĂŝŶŽǀĂĕĆŽ͘ ,^ZKh',͕,͘t͘dŚĞĞƌĂŽĨŽƉĞŶŝŶŶŽǀĂƟŽŶ͘D/d^ůŽĂŶDĂŶĂŐĞŵĞŶƚZĞǀŝĞǁ͕Ŷ͘ϰϰ͕ϮϬϬϯ͕Ɖ͘ϯϱͲϰϭ͘ Žŵ ďĂƐĞ ŶĞƐƐĞ ĨƵŶĚĂŵĞŶƚŽ͕ ƵŵĂ ĞŵƉƌĞƐĂ ƉƌĞƚĞŶĚĞ ĚĞƐĞŶǀŽůǀĞƌ Ƶŵ ƉƌŽĐĞƐƐŽ ƉĂƌĂ ƚƌĂƚĂŵĞŶƚŽ ĚĞ ĞŇƵĞŶƚĞƐ ƉƌŽǀĞŶŝĞŶƚĞƐĚĞƵŵĂŝŶĚƷƐƚƌŝĂĚĞůĂƟĐşŶŝŽƐĞ͕ƉĂƌĂƚĂŶƚŽ͕ĞŶƚƌŽƵĞŵĐŽŶƚĂƚŽĐŽŵƵŵŐƌƵƉŽĚĞƉĞƐƋƵŝƐĂƋƵĞ ĂƚƵĂŶĂƐƵĂƌĞŐŝĆŽ͘ĐĂƌĂĐƚĞƌŝnjĂĕĆŽĚŽĞŇƵĞŶƚĞĨŽŝƌĞĂůŝnjĂĚĂĞƐƵƌŐŝƌĂŵĂůŐƵŵĂƐƉƌŽƉŽƐƚĂƐƉĂƌĂŽƉƌŽĐĞƐƐŽĚĞ ƚƌĂƚĂŵĞŶƚŽ͕ŵĂƐƚŽĚĂƐĐŽŶƚĞŵƉůĂǀĂŵƵŵĂĞƚĂƉĂĚĞŶĞƵƚƌĂůŝnjĂĕĆŽĚŽĞŇƵĞŶƚĞ͕ƋƵĞƐĞĂƉƌĞƐĞŶƚŽƵďĂƐƚĂŶƚĞĄĐŝĚŽ͘ ŽŶƐŝĚĞƌĂŶĚŽĞƐƐĂƐŝƚƵĂĕĆŽ͕ĂǀĂůŝĞĂƐĂĮƌŵĂĕƁĞƐĂƐĞŐƵŝƌ͘ /͘ ĞŵƉƌĞƐĂĞƐƚĄĂƉůŝĐĂŶĚŽŽƐĐŽŶĐĞŝƚŽƐĚĞŝŶŽǀĂĕĆŽĂďĞƌƚĂĞƉƌŽŵŽǀĞŶĚŽĂƚƌŽĐĂĚĞĐŽŶŚĞĐŝŵĞŶƚŽ͘ //͘ ŶĞƵƚƌĂůŝnjĂĕĆŽƉŽĚĞƐĞƌĨĞŝƚĂƵƟůŝnjĂŶĚŽͲƐĞƵŵĂƐŽůƵĕĆŽĚĞŚŝĚƌſdžŝĚŽĚĞƐſĚŝŽ͘ ///͘ hŵĂĞƐƚĂĕĆŽĚĞůŽĚŽĂƟǀĂĚŽƉŽĚĞƐĞƌƵŵĂĚĂƐƉƌŽƉŽƐƚĂƐƉĂƌĂŽƉƌŽĐĞƐƐŽĚĞƚƌĂƚĂŵĞŶƚŽ͘ /s͘ ŝŶŽǀĂĕĆŽĂďĞƌƚĂĂĐŽŶƚĞĐĞƋƵĂŶĚŽƵŵŶŽǀŽƉƌŽĐĞƐƐŽĠĚĞƐĞŶǀŽůǀŝĚŽŶĂĞŵƉƌĞƐĂ͘ ĐŽƌƌĞƚŽĂƉĞŶĂƐŽƋƵĞƐĞĂĮƌŵĂĞŵ A B C D E /Ğ//͘ //Ğ/s͘ ///Ğ/s͘ /͕//Ğ///͘ /͕///Ğ/s͘ 27 E'E,Z/ *R10201427* QUESTÃO 30 ƌĞĐƵƌƐŝǀŝĚĂĚĞ͕ ƚĠĐŶŝĐĂ ŵƵŝƚŽ ƵƟůŝnjĂĚĂ Ğŵ ƉƌŽŐƌĂŵĂĕĆŽ͕ ƉĞƌŵŝƚĞ ƋƵĞ Ƶŵ ŶƷŵĞƌŽ ĮŶŝƚŽ ĚĞ ŝŶƐƚƌƵĕƁĞƐ ƉƌŽĐĞƐƐĞƵŵŶƷŵĞƌŽƉŽƚĞŶĐŝĂůŵĞŶƚĞŝŶĮŶŝƚŽĚĞĚĂĚŽƐƉŽƌŝŶƚĞƌŵĠĚŝŽĚŽƉĂƌĂĚŝŐŵĂĚŝǀŝĚŝƌͲƉĂƌĂͲĐŽŶƋƵŝƐƚĂƌ͘ ĨƵŶĕĆŽIntersecao (v1v2, v3v4: segmento)ĠƵŵĂĨƵŶĕĆŽƋƵĞƌĞƚŽƌŶĂĂŝŶƚĞƌƐĞĕĆŽWĞŶƚƌĞĚŽŝƐƐĞŐŵĞŶƚŽƐ ĐŽŶĐŽƌƌĞŶƚĞƐ ǀϭǀϮ Ğ ǀϯǀϰ ĂƚƌĂǀĠƐ ĚĂƐ ĚŝǀŝƐƁĞƐ ƐƵĐĞƐƐŝǀĂƐ ĚŽ ƐĞŐŵĞŶƚŽ ǀϭǀϮ͕ ĐŽŵŽ ŵŽƐƚƌĂ Ž ƐĞŐƵŝŶƚĞ ƉƐĞƵĚŽĐſĚŝŐŽ͗ 01 função Intersecao (v1v2, v3v4: segmento): ponto 02 inicio 03 se v1 != v2 então 04 inicio 3ĸSRQWRBPHGLRYY VHSHUWHQFH3YYUHWRUQH3 VHODGRYYY ODGR3YYHQWmR 08 início 09 P ĸ,QWHUVHFDRY3YY UHWRUQH3 11 ¿P 12 senão 13 início 14 P ĸ,QWHUVHFDR3YYY UHWRUQH3 16 ¿P 17 ¿P 18 senão 19 início VHSHUWHQFHYYYUHWRUQHY VHQmRUHWRUQHYD]LR 22 ¿P 23 ¿P ĨƵŶĕĆŽponto_medio(AB)ƌĞƚŽƌŶĂŽƉŽŶƚŽŵĠĚŝŽĚŽƐĞŐŵĞŶƚŽ͘ĨƵŶĕĆŽpertence(A,BC)ƌĞƚŽƌŶĂƵŵ ǀĂůŽƌůſŐŝĐŽ͕sĞƌĚĂĚĞŝƌŽŽƵ&ĂůƐŽ͕ƋƵĂŶƚŽăƉĞƌƟŶġŶĐŝĂĚŽƉŽŶƚŽĐŽŵƌĞƐƉĞŝƚŽĂŽƐĞŐŵĞŶƚŽ͘ĨƵŶĕĆŽ lado(A,BC)ƌĞƚŽƌŶĂŽůĂĚŽĞŵƋƵĞƐĞĞŶĐŽŶƚƌĂŽƉŽŶƚŽĞŵƌĞůĂĕĆŽĂŽƐĞŐŵĞŶƚŽ͘ ƌĞƐƉĞŝƚŽĚĞƐƐĞƉƐĞƵĚŽĐſĚŝŐŽ͕ĂǀĂůŝĞĂƐĂĮƌŵĂĕƁĞƐĂƐĞŐƵŝƌ. /͘ ǀϯǀϰĠĚŝǀŝĚŝĚŽƐƵĐĞƐƐŝǀĂŵĞŶƚĞƉĂƌĂĐŽŶƋƵŝƐƚĂƌW͘ //͘ ƐĐŽŶĚŝĕƁĞƐĚĞƉĂƌĂĚĂĚĂƌĞĐƵƌƐĆŽĞƐƚĆŽŶĂƐůŝŶŚĂƐϲ͕ϮϬĞϮϭ͘ ///͘ ƐĐŽŶĚŝĕƁĞƐĚĞƉĂƌĂĚĂĚĂƌĞĐƵƌƐĆŽĞƐƚĆŽŶĂƐůŝŶŚĂƐϲ͕ϭϬ͕ϭϱ͕ϮϬĞϮϭ͘ /s͘ WĞůĂƐĐŽŶĚŝĕƁĞƐŝŶŝĐŝĂŝƐĚĂƉŽƐŝĕĆŽƌĞůĂƟǀĂĞŶƚƌĞŽƐƐĞŐŵĞŶƚŽƐǀϭǀϮĞǀϯǀϰ͕ĂůŝŶŚĂϮϭŶƵŶĐĂƐĞƌĄ ĞdžĞĐƵƚĂĚĂ͘ ĐŽƌƌĞƚŽĂƉĞŶĂƐŽƋƵĞƐĞĂĮƌŵĂĞŵ A B C D E /Ğ//͘ //Ğ/s͘ ///Ğ/s͘ /͕//Ğ///͘ /͕///Ğ/s͘ *R10201428* Ϯϴ E'E,Z/ QUESTÃO 31 KƐŝŵƉĂĐƚŽƐƌĞůĂƟǀŽƐĂŽĐŽŵƉƌŽŵĞƟŵĞŶƚŽĚĂƋƵĂůŝĚĂĚĞĂŵďŝĞŶƚĂů͕ĚƵƌĂŶƚĞĂĨĂƐĞĚĞŝŵƉůĂŶƚĂĕĆŽĚĞƵŵ ĞŵƉƌĞĞŶĚŝŵĞŶƚŽ͕ĐŽŶƐŝĚĞƌĂŶĚŽͲƐĞĞƐƉĞĐŝĮĐĂŵĞŶƚĞĂƉŽůƵŝĕĆŽƐŽŶŽƌĂ͕ĚĞƉĞŶĚĞŵďĂƐŝĐĂŵĞŶƚĞĚŽƐŶşǀĞŝƐ ĚĞĞŵŝƐƐĆŽĚĞƌƵşĚŽĞĚĂƐĚŝƐƚąŶĐŝĂƐĚŽƐƌĞĐĞƉƚŽƌĞƐĞŵƌĞůĂĕĆŽăƐĨŽŶƚĞƐĚĞĞŵŝƐƐĆŽĚĂĄƌĞĂĞŵĂŶĄůŝƐĞ͘ hŵĞƋƵŝƉĂŵĞŶƚŽƋƵĞĞŵŝƚĂƵŵǀĂůŽƌŵĞĚŝĚŽĚĞϵϱĚ;Ϳ͕ĂĐĞƌĐĂĚĞϭ͕ϱŵĞƚƌŽĚĞĚŝƐƚąŶĐŝĂ͕ĂƉƌĞƐĞŶƚĂƌĄĂ ĚŝŵŝŶƵŝĕĆŽĚĞƌƵşĚŽĐŽŶĨŽƌŵĞŝŶĚŝĐĂĚŽŶŽƋƵĂĚƌŽĂƐĞŐƵŝƌ͘ Diminuição do ruído com a distância Distância em metros 1,5 3,0 6,0 12,0 24,0 48,0 EşǀĞůƐŽŶŽƌŽĚ;Ϳ 95 ϴϵ ϴϯ 77 71 65 ƐƚƵĚŽĚĞsŝĂďŝůŝĚĂĚĞŵďŝĞŶƚĂů;sͿ͘sŽůƵŵĞ///ʹǀĂůŝĂĕĆŽĚĞ/ŵƉĂĐƚŽƐ͘^ĞĐƌĞƚĂƌŝĂDƵŶŝĐŝƉĂůĚĞĞƐĞŶǀŽůǀŝŵĞŶƚŽĐŽŶƀŵŝĐŽĞĚŽ dƌĂďĂůŚŽĚĞ^ĆŽWĂƵůŽ͘^ĆŽWĂƵůŽ͘ϮϬϭϭ͘ŝƐƉŽŶşǀĞůĞŵ͗фŚƩƉ͗ͬͬǁǁǁ͘ƉƌĞĨĞŝƚƵƌĂ͘ƐƉ͘ŐŽǀ͘ďƌх͘ĐĞƐƐŽĞŵ͗ϯϭ:Ƶů͘ϮϬϭϰ;ĂĚĂƉƚĂĚŽͿ͘ ďĂŝdžŽĠĂƉƌĞƐĞŶƚĂĚŽƵŵƚƌĞĐŚŽĚĞƵŵƉƌŽŐƌĂŵĂĚĞĐŽŵƉƵƚĂĚŽƌ͕ĞƐĐƌŝƚŽĞŵƉƐĞƵĚŽĐſĚŝŐŽ͕ƋƵĞĂƌŵĂnjĞŶĂ͕ ŶĂŵĂƚƌŝnjD͕ǀĂůŽƌĞƐŽƌŝƵŶĚŽƐĚŽƋƵĂĚƌŽ͘ ... i <- 2 SDUDMGHDWHSDVVRIDoD M[i, j] <- 95 M[i, j+1] <- 89 M[i, j+2] <- 83 M[i, j+3] <- 77 ¿PSDUD ... Žŵ ďĂƐĞ ŶĂ ƐŝŵƵůĂĕĆŽ ĚĂ ƌĞƐƉŽƐƚĂ ĂƉƌĞƐĞŶƚĂĚĂ ĂƉſƐ Ă ĞdžĞĐƵĕĆŽ ĚĞƐƐĞ ƚƌĞĐŚŽ ĚĞ ƉƌŽŐƌĂŵĂ͕ ĂƐƐŝŶĂůĞ Ă ŽƉĕĆŽƋƵĞĐŽŶƚĞŵƉůĂĐŽƌƌĞƚĂŵĞŶƚĞŽƐƌĞƐƉĞĐƟǀŽƐǀĂůŽƌĞƐĂƌŵĂnjĞŶĂĚŽƐŶĂŵĂƚƌŝnjD͘ A B C D E DĂƚƌŝnj 1 2 DĂƚƌŝnj 1 2 DĂƚƌŝnj 1 2 DĂƚƌŝnj 1 2 DĂƚƌŝnj 1 2 1 2 ϯ 4 5 6 95 95 95 ϴϵ ϴϯ 77 1 2 ϯ 4 5 6 95 ϴϵ ϴϯ 77 71 65 1 2 ϯ 4 5 6 65 71 77 ϴϯ ϴϵ 95 1 2 ϯ 4 5 6 95 ϴϵ ϴϯ 77 1 2 ϯ 4 5 6 95 ϴϵ ϴϯ 77 29 E'E,Z/ *R10201429* QUESTÃO 32 EŽĚŝŵĞŶƐŝŽŶĂŵĞŶƚŽĚĞƚƵďƵůĂĕƁĞƐ͕ĨĂƚŽƌĞƐĐŽŵŽƌƵŐŽƐŝĚĂĚĞĚŽŵĂƚĞƌŝĂůĚŽƐƚƵďŽƐŽƵ͕ĂŝŶĚĂ͕ŝŶĐůƵƐĆŽĚĞ ƉĞĕĂƐĞƐƉĞĐŝĂŝƐĞĐŽŶĞdžƁĞƐĞůĞǀĂŵĂƚƵƌďƵůġŶĐŝĂ͕ƉƌŽǀŽĐĂŵĂƚƌŝƚŽƐĞĐĂƵƐĂŵŽĐŚŽƋƵĞĚĞƉĂƌơĐƵůĂƐ͕ŽƋƵĞ ŽƌŝŐŝŶĂĂƐƉĞƌĚĂƐĚĞĐĂƌŐĂ͘ƐƐĂƐƉĞƌĚĂƐƐĆŽĐůĂƐƐŝĮĐĂĚĂƐĞŵƉĞƌĚĂƐĐŽŶơŶƵĂƐĂŽůŽŶŐŽĚŽƐĐŽŶĚƵƚŽƐ͕ƉŽƌ ƌĞƐŝƐƚġŶĐŝĂ͕ŽĐĂƐŝŽŶĂĚĂƐƉĞůŽŵŽǀŝŵĞŶƚŽĚĂĄŐƵĂŶĂƉƌſƉƌŝĂƚƵďƵůĂĕĆŽ͕ĞĞŵƉĞƌĚĂƐůŽĐĂŝƐ͕ƉƌŽǀŽĐĂĚĂƐƉĞůĂƐ ƉĞĕĂƐĞƐƉĞĐŝĂŝƐĞĚĞŵĂŝƐƐŝŶŐƵůĂƌŝĚĂĚĞƐĚĞƵŵĂŝŶƐƚĂůĂĕĆŽ͘ KĞƐƋƵĞŵĂĚĂĮŐƵƌĂ/ĂƉƌĞƐĞŶƚĂĂǀŝƐƚĂůĂƚĞƌĂůĚĞƵŵƚƌĞĐŚŽĚĞƚƵďƵůĂĕĆŽĞŵƌĞŐŝŵĞƉĞƌŵĂŶĞŶƚĞ͕ĐŽŵĚŝąŵĞƚƌŽ ĐŽŶƐƚĂŶƚĞĚĞϮϬϬŵŵĞƉĂƌĂĂƋƵĂůŚĄƵŵĚĞƐŶşǀĞůĚĞϴŵĞŶƚƌĞŽƐƚƌĞĐŚŽƐŚŽƌŝnjŽŶƚĂŝƐ͘ƐĐĂƌŐĂƐĚĞƉƌĞƐƐĆŽ ĚŝƐƉŽŶşǀĞŝƐŶĂƐƐĞĕƁĞƐĞƐĆŽĚĞ͕ƌĞƐƉĞĐƟǀĂŵĞŶƚĞ͕Ϯϰŵ͘Đ͘Ă͘ĞϭϬŵ͘Đ͘Ă͘KŐƌĄĮĐŽĚĂĮŐƵƌĂ//ƌĞůĂĐŝŽŶĂĂ ǀĂnjĆŽĚĂƚƵďƵůĂĕĆŽĐŽŵĂƉĞƌĚĂĚĞĐĂƌŐĂĐŽŶơŶƵĂƉĂƌĂĚŽŝƐǀĂůŽƌĞƐĚĞĚŝąŵĞƚƌŽƐĚĞƚƵďŽƐĐŽŶƐƟƚƵşĚŽƐĚŽ ŵĞƐŵŽŵĂƚĞƌŝĂůĚĂƚƵďƵůĂĕĆŽ͘ L = 300 m Q B L = 60 m 6 10 H=8m L=2m Q A L = 238 m &ŝŐƵƌĂ/ 60,0 50,0 D = 200 mm Vazão (litros/s) 40,0 30,0 20,0 D = 150 mm 10,0 0,00 2 4 6 8 10 Perda de carga contínua (10 -3 m/m) 12 14 &ŝŐƵƌĂ// ŽŵďĂƐĞŶŽƐĚĂĚŽƐĂƉƌĞƐĞŶƚĂĚŽƐĞĐŽŶƐŝĚĞƌĂŶĚŽĂƉĞŶĂƐĂƐƉĞƌĚĂƐĚĞĐĂƌŐĂĐŽŶơŶƵĂƐ͕ĐŽŶĐůƵŝͲƐĞƋƵĞĂ ǀĂnjĆŽŶĂƚƵďƵůĂĕĆŽĠĚĞ A Ϯϲ>ͬƐ͘ B ϯϯ>ͬƐ͘ C ϯϴ>ͬƐ͘ D ϰϯ>ͬƐ͘ E ϰϴ>ͬƐ͘ ϯϬ E'E,Z/ *R10201430* QUESTÃO 33 QUESTÃO 34 K payback͕ ŽƵ ƚĞŵƉŽ ĚĞ ƌĞƚŽƌŶŽ͕ Ġ ƵƟůŝnjĂĚŽ ĐŽŵŽ ƌĞĨĞƌġŶĐŝĂ ƉĂƌĂ ũƵůŐĂƌ Ă ĂƚƌĂƟǀŝĚĂĚĞ ƌĞůĂƟǀĂ ĚĂƐ ŽƉĕƁĞƐĚĞŝŶǀĞƐƟŵĞŶƚŽ͕ŵĂƐĚĞǀĞƐĞƌĞŶĐĂƌĂĚŽĐŽŵ ƌĞƐĞƌǀĂƐ͕ƉŽŝƐĠĂƉĞŶĂƐƵŵŝŶĚŝĐĂĚŽƌ͗ƋƵĂŶƚŽŵĞŶŽƌ Žpayback͕ ŵĞůŚŽƌƉŽĚĞƐĞƌŽŝŶǀĞƐƟŵĞŶƚŽ͘ Žŵ Ž ŝŶƚƵŝƚŽ ĚĞ ĞƐƚĂďĞůĞĐĞƌ ƌĞƋƵŝƐŝƚŽƐ Ğ ƉƌŽĐĞĚŝŵĞŶƚŽƐďĄƐŝĐŽƐƋƵĞŐĂƌĂŶƚĂŵĂƐĞŐƵƌĂŶĕĂĞ ĂƐĂƷĚĞĚŽƐƚƌĂďĂůŚĂĚŽƌĞƐĞŵŝŶƐƚĂůĂĕƁĞƐĞƐĞƌǀŝĕŽƐ ĞůĠƚƌŝĐŽƐ͕ŽDŝŶŝƐƚĠƌŝŽĚŽdƌĂďĂůŚŽĞŵƉƌĞŐŽĐƌŝŽƵ ŶŽƌŵĂƟnjĂĕĆŽĞƐƉĞĐşĮĐĂ͘ DKdd͕Z͘Z͖͘>N͕'͘D͘ŶĄůŝƐĞĚĞ/ŶǀĞƐƟŵĞŶƚŽƐ͗ƚŽŵĂĚĂĚĞ ĚĞĐŝƐĆŽĞŵƉƌŽũĞƚŽƐŝŶĚƵƐƚƌŝĂŝƐ͘^ĆŽWĂƵůŽ͗ƚůĂƐ͕ϮϬϬϮ;ĂĚĂƉƚĂĚŽͿ͘ ŽŶƐŝĚĞƌĂŶĚŽŽƚĞŵĂĚĂƐĞŐƵƌĂŶĕĂĞŵŝŶƐƚĂůĂĕƁĞƐĞ ƐĞƌǀŝĕŽƐĞŵĞůĞƚƌŝĐŝĚĂĚĞ͕ĂǀĂůŝĞĂƐĂĮƌŵĂĕƁĞƐĂƐĞŐƵŝƌ. ŽŶƐŝĚĞƌĞ ĂƐ ƐĞŐƵŝŶƚĞƐ ŽƉĕƁĞƐ ĚĞ ĞƋƵŝƉĂŵĞŶƚŽƐ ŝŶĚƵƐƚƌŝĂŝƐ͕ Ž ŝŶǀĞƐƟŵĞŶƚŽ ŶĞĐĞƐƐĄƌŝŽ Ğ Ž ƌĞƚŽƌŶŽ ĂŶƵĂůŽďƟĚŽ͘ Opção B /ŶǀĞƐƟŵĞŶƚŽ ZΨϭ͘ϬϬϬ͕ϬϬ ZΨϮ͘ϬϬϬ͕ϬϬ ZΨϯ͘ϬϬϬ͕ϬϬ /͘ KƐƐĞƌǀŝĕŽƐĞŵŝŶƐƚĂůĂĕƁĞƐĞůĠƚƌŝĐĂƐĚĞǀĞŵƐĞƌ ƉƌĞĐĞĚŝĚŽƐƉŽƌŽƌĚĞŶƐĚĞƐĞƌǀŝĕŽĞƐƉĞĐşĮĐĂƐ Ğ ĐŽŶĚƵnjŝĚŽƐ ƉŽƌ ƉĞƐƐŽĂů ƚĞĐŶŝĐĂŵĞŶƚĞ ĐĂƉĂĐŝƚĂĚŽ͘ //͘ ƚĞŶƐĆŽĚĞϭϯ͕ϴŬs͕ĐůĂƐƐŝĮĐĂĚĂĐŽŵŽďĂŝdžĂ ƚĞŶƐĆŽ͕ŽĨĞƌĞĐĞďĂŝdžŽƌŝƐĐŽĚĞĂƌĐŽĞůĠƚƌŝĐŽ͘ ///͘ hŵ ƚƌĂďĂůŚĂĚŽƌ͕ ŵĞƐŵŽ ƋƵĞ ƚĞĐŶŝĐĂŵĞŶƚĞ ĐĂƉĂĐŝƚĂĚŽ͕ ŶĆŽ ƉŽĚĞ ĂƚƵĂƌ ƐŽnjŝŶŚŽ Ğŵ ƐĞƌǀŝĕŽƐ ĚĞ ŝŶƐƚĂůĂĕƁĞƐ ĞůĠƚƌŝĐĂƐ ĞŶĞƌŐŝnjĂĚĂƐ ĞŵĂůƚĂƚĞŶƐĆŽ͘ /s͘ KƐƉƌŽĐĞƐƐŽƐŽƵĞƋƵŝƉĂŵĞŶƚŽƐƐƵƐĐĞơǀĞŝƐĚĞ ŐĞƌĂƌŽƵĂĐƵŵƵůĂƌĞůĞƚƌŝĐŝĚĂĚĞĞƐƚĄƟĐĂĚĞǀĞŵ ĚŝƐƉŽƌ ĚĞ ƉƌŽƚĞĕĆŽ ĞƐƉĞĐşĮĐĂ Ğ ĚŝƐƉŽƐŝƟǀŽƐ ĚĞĚĞƐĐĂƌŐĂĞůĠƚƌŝĐĂ͘ retorno anual ZΨϭϬϬ͕ϬϬ ZΨϮϬϬ͕ϬϬ ZΨϱϬϬ͕ϬϬ hƟůŝnjĂŶĚŽŽpayback ĐŽŵŽƌĞĨĞƌġŶĐŝĂƉĂƌĂĂƚŽŵĂĚĂ ĚĞĚĞĐŝƐĆŽ͕ĂǀĂůŝĞĂƐĂĮƌŵĂĕƁĞƐĂƐĞŐƵŝƌ͘ /͘ ƐŽƉĕƁĞƐĞƐĆŽĚĞŵĞƐŵŽǀĂůŽƌ͕ŽƵƐĞũĂ͕ ĚĞϭϬĂŶŽƐ͘ //͘ ŽƉĕĆŽĠĚĞϲĂŶŽƐ͘ ///͘ ŽƉĕĆŽĠŵĞůŚŽƌƋƵĞĂƐŽƵƚƌĂƐĚƵĂƐŽƉĕƁĞƐ͘ ĐŽƌƌĞƚŽŽƋƵĞƐĞĂĮƌŵĂĞŵ ĐŽƌƌĞƚŽĂƉĞŶĂƐŽƋƵĞƐĞĂĮƌŵĂĞŵ A B C D E A B C D E //͕ĂƉĞŶĂƐ͘ ///͕ĂƉĞŶĂƐ͘ /Ğ//͕ĂƉĞŶĂƐ͘ /Ğ///͕ĂƉĞŶĂƐ͘ /͕//Ğ///͘ ÁREA LIVRE /Ğ//͘ /Ğ///͘ //Ğ/s͘ /͕///Ğ/s͘ //͕///Ğ/s͘ ÁREA LIVRE ϯϭ E'E,Z/ *R10201431* QUESTÃO 35 ĞǀŝĚŽăƐĞŶĐŚĞŶƚĞƐĞŵƵŵŵƵŶŝĐşƉŝŽ͕ƵŵĞŶŐĞŶŚĞŝƌŽĨŽŝŝŶĐƵŵďŝĚŽĚĞĞŵŝƟƌƵŵƉĂƌĞĐĞƌƐŽďƌĞŽƌĞůĂƚſƌŝŽ ĚĞ ŵĞĚŝĚĂƐ ĚĞ ƌĞĂĚĞƋƵĂĕĆŽ ĚĂ ŝŶĨƌĂĞƐƚƌƵƚƵƌĂ ĚĞ ĚƌĞŶĂŐĞŵ ƵƌďĂŶĂ͕ ĞŶƚƌĞ ĂƐ ƋƵĂŝƐ Ž ĂƵŵĞŶƚŽ ĚĂ ƐĞĕĆŽ ƚƌĂŶƐǀĞƌƐĂůĚĞƵŵĐĂŶĂůƉĞůŽƋƵĂůƵŵƌŝŽĂƚƌĂǀĞƐƐĂŽŵƵŶŝĐşƉŝŽ͘WĂƌĂĂǀĂůŝĂƌĂǀŝĂďŝůŝĚĂĚĞƚĠĐŶŝĐĂĚŽƉƌŽũĞƚŽ͕ ŽĞŶŐĞŶŚĞŝƌŽĂŶĂůŝƐŽƵŽĐŽƌƚĞĚĂƐĞĕĆŽƚƌĂŶƐǀĞƌƐĂůĚŽĐĂŶĂůĂƉƌĞƐĞŶƚĂĚŽŶŽƌĞůĂƚſƌŝŽ;ĮŐƵƌĂ/ͿĞƵƟůŝnjŽƵƵŵ ŵŽĚĞůŽŶƵŵĠƌŝĐŽŶŽƋƵĂůĂǀĂnjĆŽĚĞƉƌŽũĞƚŽQ;ĞŵŵϹͬƐͿƉĂƌĂĂĄƌĞĂĚĞĚƌĞŶĂŐĞŵĂŵŽŶƚĂŶƚĞ͕ĐŽŶƐŝĚĞƌĂŶĚŽ ŽƐƉĂƌąŵĞƚƌŽƐŚŝĚƌŽůſŐŝĐŽƐƉĞƌƟŶĞŶƚĞƐ͕ĠĚĂĚĂƉĞůĂĞƋƵĂĕĆŽQ = 1, 549 3 ((b+ 1, 5y) y)5 b+ 2y √3, 25 2 ͕ĞŵƋƵĞ y e b ƐĆŽƉĂƌąŵĞƚƌŽƐŐĞŽŵĠƚƌŝĐŽƐĚŽĚŝŵĞŶƐŝŽŶĂŵĞŶƚŽ;ĞŵŵĞƚƌŽƐͿ͘ Área de passagem para o volume do período das cheias y 1 m Nível de Água no período da seca my b my SEÇÃO TRANSVERSAL DO CANAL Figura I ŽŵŽƐĚĂĚŽƐĚŽƉƌŽũĞƚŽʹĄƌĞĂĚĞĚƌĞŶĂŐĞŵĂŵŽŶƚĂŶƚĞŶŽůŽĐĂůŝŐƵĂůĂϱϮϱŬŵϸĞƉƌŽĨƵŶĚŝĚĂĚĞ yŝŐƵĂů Ăϯ͕Ϭŵʹ͕ŽĞŶŐĞŶŚĞŝƌŽƉƌŽĚƵnjŝƵ͕ĐŽŵďĂƐĞŶŽŵŽĚĞůŽŶƵŵĠƌŝĐŽƵƟůŝnjĂĚŽ͕ŽƐƌĞƐƵůƚĂĚŽƐĂƉƌĞƐĞŶƚĂĚŽƐŶŽ ŐƌĄĮĐŽĚĂĮŐƵƌĂ//͘ *R10201432* ϯϮ E'E,Z/ 28,0 290,0 b(m) 27,0 27,5 26,5 26,0 Q=Q(b)y=3,1 m 285,0 280,0 275,0 Q=Q(b)y=3,0 m Q (m3/s) 270,0 265,0 260,0 Q=Q(b)y=2,9 m 255,0 250,0 Q=Q(A) 245,0 240,0 400 425 450 475 500 525 550 2 Área de drenagem a montante (km ) 575 600 &ŝŐƵƌĂ// Žŵ ďĂƐĞ ŶĞƐƐĂƐ ŝŶĨŽƌŵĂĕƁĞƐ Ğ ŶĂ ŵĞƚŽĚŽůŽŐŝĂ ƵƟůŝnjĂĚĂ ƉĞůŽ ĞŶŐĞŶŚĞŝƌŽ͕ ĐŽŶĐůƵŝͲƐĞ ƋƵĞ Ž ǀĂůŽƌ ĚĂ ĚŝŵĞŶƐĆŽ b ŵĂŝƐƉƌſdžŝŵŽĚĂƐŽůƵĕĆŽŶƵŵĠƌŝĐĂĚŽƉƌŽďůĞŵĂĠŝŐƵĂůĂ A B C D E Ϯϲ͕ϱϬŵ͘ Ϯϲ͕ϳϱŵ͘ Ϯϳ͕ϬϬŵ͘ Ϯϳ͕Ϯϱŵ͘ Ϯϳ͕ϱϬŵ͘ ÁREA LIVRE ϯϯ E'E,Z/ *R10201433* QUESTIONÁRIO DE PERCEPÇÃO DA PROVA ƐƋƵĞƐƚƁĞƐĂďĂŝdžŽǀŝƐĂŵůĞǀĂŶƚĂƌƐƵĂŽƉŝŶŝĆŽƐŽďƌĞĂƋƵĂůŝĚĂĚĞĞĂĂĚĞƋƵĂĕĆŽĚĂƉƌŽǀĂƋƵĞǀŽĐġĂĐĂďŽƵĚĞƌĞĂůŝnjĂƌ͘ ƐƐŝŶĂůĞĂƐĂůƚĞƌŶĂƟǀĂƐĐŽƌƌĞƐƉŽŶĚĞŶƚĞƐăƐƵĂŽƉŝŶŝĆŽŶŽƐĞƐƉĂĕŽƐĂƉƌŽƉƌŝĂĚŽƐĚŽĂĚĞƌŶŽĚĞZĞƐƉŽƐƚĂƐ͘ QUESTÃO 1 YƵĂů Ž ŐƌĂƵ ĚĞ ĚŝĮĐƵůĚĂĚĞ ĚĞƐƚĂ ƉƌŽǀĂ ŶĂ ƉĂƌƚĞ ĚĞ &ŽƌŵĂĕĆŽ'ĞƌĂů͍ ADƵŝƚŽĨĄĐŝů͘ B&ĄĐŝů͘ CDĠĚŝŽ͘ DŝİĐŝů͘ EDƵŝƚŽĚŝİĐŝů͘ QUESTÃO 6 Ɛ ŝŶĨŽƌŵĂĕƁĞƐͬŝŶƐƚƌƵĕƁĞƐ ĨŽƌŶĞĐŝĚĂƐ ƉĂƌĂ Ă ƌĞƐŽůƵĕĆŽ ĚĂƐƋƵĞƐƚƁĞƐĨŽƌĂŵƐƵĮĐŝĞŶƚĞƐƉĂƌĂƌĞƐŽůǀġͲůĂƐ͍ A^ŝŵ͕ĂƚĠĞdžĐĞƐƐŝǀĂƐ͘ B^ŝŵ͕ĞŵƚŽĚĂƐĞůĂƐ͘ C^ŝŵ͕ŶĂŵĂŝŽƌŝĂĚĞůĂƐ͘ D^ŝŵ͕ƐŽŵĞŶƚĞĞŵĂůŐƵŵĂƐ͘ EEĆŽ͕ĞŵŶĞŶŚƵŵĂĚĞůĂƐ͘ QUESTÃO 2 YƵĂů Ž ŐƌĂƵ ĚĞ ĚŝĮĐƵůĚĂĚĞ ĚĞƐƚĂ ƉƌŽǀĂ ŶĂ ƉĂƌƚĞ ĚĞ ŽŵƉŽŶĞŶƚĞƐƉĞĐşĮĐŽ͍ ADƵŝƚŽĨĄĐŝů͘ B&ĄĐŝů͘ CDĠĚŝŽ͘ DŝİĐŝů͘ EDƵŝƚŽĚŝİĐŝů͘ QUESTÃO 7 sŽĐġƐĞĚĞƉĂƌŽƵĐŽŵĂůŐƵŵĂĚŝĮĐƵůĚĂĚĞĂŽƌĞƐƉŽŶĚĞƌ ăƉƌŽǀĂ͘YƵĂů͍ AĞƐĐŽŶŚĞĐŝŵĞŶƚŽĚŽĐŽŶƚĞƷĚŽ͘ B&ŽƌŵĂĚŝĨĞƌĞŶƚĞĚĞĂďŽƌĚĂŐĞŵĚŽĐŽŶƚĞƷĚŽ͘ CƐƉĂĕŽŝŶƐƵĮĐŝĞŶƚĞƉĂƌĂƌĞƐƉŽŶĚĞƌăƐƋƵĞƐƚƁĞƐ͘ D&ĂůƚĂĚĞŵŽƟǀĂĕĆŽƉĂƌĂĨĂnjĞƌĂƉƌŽǀĂ͘ EEĆŽƟǀĞƋƵĂůƋƵĞƌƟƉŽĚĞĚŝĮĐƵůĚĂĚĞƉĂƌĂƌĞƐƉŽŶĚĞƌ ăƉƌŽǀĂ͘ QUESTÃO 3 ŽŶƐŝĚĞƌĂŶĚŽĂĞdžƚĞŶƐĆŽĚĂƉƌŽǀĂ͕ĞŵƌĞůĂĕĆŽĂŽƚĞŵƉŽ ƚŽƚĂů͕ǀŽĐġĐŽŶƐŝĚĞƌĂƋƵĞĂƉƌŽǀĂĨŽŝ AŵƵŝƚŽůŽŶŐĂ͘ BůŽŶŐĂ͘ CĂĚĞƋƵĂĚĂ͘ DĐƵƌƚĂ͘ EŵƵŝƚŽĐƵƌƚĂ͘ QUESTÃO 4 KƐ ĞŶƵŶĐŝĂĚŽƐ ĚĂƐ ƋƵĞƐƚƁĞƐ ĚĂ ƉƌŽǀĂ ŶĂ ƉĂƌƚĞ ĚĞ &ŽƌŵĂĕĆŽ'ĞƌĂůĞƐƚĂǀĂŵĐůĂƌŽƐĞŽďũĞƟǀŽƐ͍ A^ŝŵ͕ƚŽĚŽƐ͘ B^ŝŵ͕ĂŵĂŝŽƌŝĂ͘ CƉĞŶĂƐĐĞƌĐĂĚĂŵĞƚĂĚĞ͘ DWŽƵĐŽƐ͘ EEĆŽ͕ŶĞŶŚƵŵ͘ QUESTÃO 8 ŽŶƐŝĚĞƌĂŶĚŽ ĂƉĞŶĂƐ ĂƐ ƋƵĞƐƚƁĞƐ ŽďũĞƟǀĂƐ ĚĂ ƉƌŽǀĂ͕ ǀŽĐġƉĞƌĐĞďĞƵƋƵĞ AŶĆŽĞƐƚƵĚŽƵĂŝŶĚĂĂŵĂŝŽƌŝĂĚĞƐƐĞƐĐŽŶƚĞƷĚŽƐ͘ BĞƐƚƵĚŽƵĂůŐƵŶƐĚĞƐƐĞƐĐŽŶƚĞƷĚŽƐ͕ŵĂƐŶĆŽŽƐĂƉƌĞŶĚĞƵ͘ CĞƐƚƵĚŽƵĂŵĂŝŽƌŝĂĚĞƐƐĞƐĐŽŶƚĞƷĚŽƐ͕ŵĂƐŶĆŽŽƐĂƉƌĞŶĚĞƵ͘ DĞƐƚƵĚŽƵĞĂƉƌĞŶĚĞƵŵƵŝƚŽƐĚĞƐƐĞƐĐŽŶƚĞƷĚŽƐ͘ EĞƐƚƵĚŽƵĞĂƉƌĞŶĚĞƵƚŽĚŽƐĞƐƐĞƐĐŽŶƚĞƷĚŽƐ͘ QUESTÃO 9 YƵĂůĨŽŝŽƚĞŵƉŽŐĂƐƚŽƉŽƌǀŽĐġƉĂƌĂĐŽŶĐůƵŝƌĂƉƌŽǀĂ͍ ADĞŶŽƐĚĞƵŵĂŚŽƌĂ͘ BŶƚƌĞƵŵĂĞĚƵĂƐŚŽƌĂƐ͘ CŶƚƌĞĚƵĂƐĞƚƌġƐŚŽƌĂƐ͘ DŶƚƌĞƚƌġƐĞƋƵĂƚƌŽŚŽƌĂƐ͘ EYƵĂƚƌŽŚŽƌĂƐ͕ĞŶĆŽĐŽŶƐĞŐƵŝƚĞƌŵŝŶĂƌ͘ QUESTÃO 5 KƐ ĞŶƵŶĐŝĂĚŽƐ ĚĂƐ ƋƵĞƐƚƁĞƐ ĚĂ ƉƌŽǀĂ ŶĂ ƉĂƌƚĞ ĚĞ ŽŵƉŽŶĞŶƚĞƐƉĞĐşĮĐŽĞƐƚĂǀĂŵĐůĂƌŽƐĞŽďũĞƟǀŽƐ͍ A^ŝŵ͕ƚŽĚŽƐ͘ B^ŝŵ͕ĂŵĂŝŽƌŝĂ͘ CƉĞŶĂƐĐĞƌĐĂĚĂŵĞƚĂĚĞ͘ DWŽƵĐŽƐ͘ EEĆŽ͕ŶĞŶŚƵŵ͘ *R10201434* ϯϰ E'E,Z/ ÁREA LIVRE ϯϱ E'E,Z/ *R10201435* ÁREA LIVRE *R10201436* ϯϲ E'E,Z/ ÁREA LIVRE ϯϳ E'E,Z/ *R10201437* ÁREA LIVRE *R10201438* ϯϴ E'E,Z/ ÁREA LIVRE ϯϵ E'E,Z/ *R10201439* Ministério da Educação *R10201440* 40 E'E,Z/
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